### Add and Subtract Parts of a Whole Page No – 389

Use the model to write an equation.

Question 1:

Question 2:

Question 3:

Question 4:

$$\frac { 2 }{ 6 } +\frac { 3 }{ 6 } =\frac { }{ }$$

Question 5:

$$\frac { 3 }{ 5 } -\frac { 2 }{ 5 } =\frac { }{ }$$

Question 6:
Jake ate $$\frac { 4 }{ 8 }$$ of a pizza. Millie ate $$\frac { 3}{ 8 }$$ of the same pizza. How much of the pizza was eaten by Jake and Millie?

Question 7:
Kate ate $$\frac { 1 }{ 4 }$$ of her orange. Ben ate $$\frac { 2 }{ 4 }$$ of his banana. Did Kate and Ben eat $$\frac { 1 }{ 4 } +\frac { 2}{ 4 } =\frac { 3}{ 4 }$$ of their fruit?

### Add and Subtract Parts of a Whole Page No – 390

Question 1:
A whole pie is cut into 8 equal slices. Three of the slices are served. How much of the pie is left?
(a) $$\frac { 1 }{ 8 }$$
(b) $$\frac { 3 }{ 8 }$$
(c) $$\frac { 5 }{ 8}$$
(d)$$\frac { 7 }{ 8 }$$

Question 2:
An orange is divided into 6 equal wedges. Jody eats 1 wedge. Then she eats 3 more wedges. How much of the orange did Jody eat?
(a) $$\frac { 1 }{ 6}$$
(b) $$\frac { 4}{ 6 }$$
(c) $$\frac { 5}{ 6 }$$
(d) $$\frac { 6}{ 6}$$

Question 3:
Which list of distances is in order from least to greatest?
(a) $$\frac { 1 }{ 8 }$$ Mile, $$\frac { 3 }{ 16 }$$ Mile, $$\frac { 3 }{ 4 }$$ Mile
(b) $$\frac { 3 }{ 4 }$$ Mile, $$\frac { 1 }{ 8 }$$ Mile, $$\frac { 3 }{ 16 }$$ Mile
(c) $$\frac { 1 }{ 8}$$ Mile, $$\frac { 3 }{ 4 }$$ Mile, $$\frac { 3 }{ 16 }$$ Mile
(d)$$\frac { 3 }{ 16 }$$ Mile, $$\frac { 1 }{ 8 }$$ Mile, $$\frac { 3 }{ 4 }$$ Mile

Question 4:
Jeremy walked 68 of the way to school and ran the rest of the way. What fraction, in simplest form, shows the part of the way that Jeremy walked?
(a) $$\frac { 1 }{ 4 }$$
(b) $$\frac { 3 }{ 8 }$$
(c) $$\frac { 1 }{ 2}$$
(d)$$\frac { 3 }{ 4 }$$

Question 5:
An elevator starts on the 100th floor of a building. It descends 4 floors every 10 seconds. At what floor will the elevator be 60 seconds after it starts?
(a) 60th floor
(b) 66th floor
(c) 72nd floor
(d) 76th floor

Question 6:
For a school play, the teacher asked the class to set up chairs in 20 rows with 25 chairs in each row. After setting up all the chairs, they were 5 chairs short. How many chairs did the class set up?
(a) 400
(b) 450
(c) 495
(d) 500

### Add and Subtract Parts of a Whole Page No – 393

Question 1:
Write $$\frac { 3 }{ 4 }$$ as a sum of unit fractions.

$$\frac { 3 }{ 4 } =$$

Write the fraction as a sum of unit fractions.
Question 2:

$$\frac { 5 }{ 6 } =$$

Question 3:

$$\frac { 2 }{ 3 } =$$

Question 4:
$$\frac { 4 }{ 12 } =$$

Question 5:
$$\frac { 6 }{ 8 } =$$

Question 6:
$$\frac { 8 }{ 10 } =$$

Question 7:
$$\frac { 6 }{ 6 } =$$

Question 8:
Compare Representations How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.

### Add and Subtract Parts of a Whole Page No – 394

Question 9:
Holly’s garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together. What part of the garden could each fenced area be?

a. What information do you need to use?
d. Show how you can solve the problem.

Question 9:
Complete the sentence.
The garden can be fenced into ______, ______, and ______ parts or ______, ______, and ______ parts.

### Add and Subtract Parts of a Whole Page No – 395

Question 1:

Question 2:
$$\frac { 3 }{ 8 }=$$

Question 3:
$$\frac { 6 }{ 12 }=$$

Question 4:
$$\frac { 4 }{ 4 }=$$

Question 5:
$$\frac { 7 }{ 10 }=$$

Question 6:
$$\frac { 6 }{ 6 } =$$

Question 7:
Miguel’s teacher asks him to color $$\frac { 4 }{ 8 }$$ of his grid. He must use 3 colors: red, blue, and green. There must be more green sections than red sections. How can Miguel color the sections of his grid to follow all the rules?

Question 8:
Petra is asked to color $$\frac { 6 }{ 6 }$$ of her grid. She must use 3 colors: blue, red, and pink. There must be more blue sections than red sections or pink sections. What are the different ways Petra can color the sections of her grid and follow all the rules?

### Add and Subtract Parts of a Whole Page No – 396

Question 1:
Jorge wants to write $$\frac { 4 }{ 5 }$$ as a sum of unit fractions. Which of the following should he write?
(a) $$\frac { 3 }{ 5 } +\frac { 1 }{ 5 }$$
(b) $$\frac { 2 }{ 5 } +\frac { 2 }{ 5 }$$
(c) $$\frac { 1 }{ 5 } +\frac { 1 }{ 5 }+\frac { 2 }{ 5 }$$
(d) $$\frac { 1 }{ 5 } +\frac { 1 }{ 5 } +\frac { 1 }{ 5 } +\frac { 1 }{ 5 }$$

Question 2:
Which expression is equivalent to $$\frac { 7 }{ 8 }$$ ?
(a) $$\frac { 5 }{ 8 } +\frac { 2 }{ 8}+\frac { 1 }{ 8 }$$
(b) $$\frac { 3 }{ 8 } +\frac {3 }{ 8 } +\frac { 1 }{ 8 } +\frac { 1 }{ 8 }$$
(c) $$\frac { 4 }{ 8 } +\frac { 2 }{ 8 }+\frac { 1 }{ 8 }$$
(d) $$\frac { 4 }{ 8 } +\frac { 2 }{ 8 }+\frac { 2 }{ 8 }$$

Question 3:
An apple is cut into 6 equal slices. Nancy eats 2 of the slices. What fraction of the apple is left?
(a) $$\frac { 1 }{ 6 }$$
(b) $$\frac { 2 }{ 6 }$$
(c) $$\frac { 3 }{ 6 }$$
(d) $$\frac { 4 }{ 6 }$$

Question 4:
Which of the following numbers is a prime number?
(a) 1
(b) 11
(c) 21
(d) 51

Question 5:
A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many cubes as she
can. How many unit cubes are left over?
(a) 1
(b) 2
(c) 3
(d) 6

Question 6:
Jessie sorted the coins in her bank. She made 7 stacks of 6 dimes and 8 stacks of 5 nickels. She then found 1 dime and 1 nickel. How many dimes and nickels does Jessie have in all?
(a) 84
(b) 82
(c) 80
(d) 28

### Add and Subtract Parts of a Whole Page No – 399

Question 1:
Adrian’s cat ate $$\frac { 3 }{ 5 }$$ of a bag of cat treats in September and $$\frac { 1 }{ 5 }$$ of the same bag of cat treats in October. What part of the bag of cat treats did Adrian’s cat eat in both months? Use the model to find the sum $$\frac { 3 }{ 5 }$$+$$\frac { 1 }{ 5 }$$. How many fifth-size pieces are shown?

Use the model to find the sum $$\frac { 3 }{ 5 }$$+$$\frac { 1 }{ 5 }$$. How many fifth-size pieces are shown? fifth-size pieces

Use the model to find the sum.
Question 2:

$$\frac { 1 }{ 4 } +\frac { 2 }{ 4 } =\frac { }{ }$$

Question 3:

$$\frac { 6 }{ 10 } +\frac { 3 }{ 10 } =\frac { }{ }$$

Find the sum. Use models to help.
Question 4:
$$\frac { 3 }{ 6 } +\frac { 3 }{ 6 } =\frac { }{ }$$

Question 5:
$$\frac { 1 }{ 3 } +\frac { 1 }{ 3 } =\frac { }{ }$$

Question 6:
$$\frac { 5 }{ 8 } +\frac { 2 }{ 8 } =\frac { }{ }$$

Find the sum. Use models or iTools to help.
Question 7:
$$\frac { 5 }{ 8 } +\frac { 2 }{ 8 } =\frac { }{ }$$

Question 8:
$$\frac { 2 }{ 5 } +\frac { 2 }{ 5 } =\frac { }{ }$$

Question 9:
$$\frac { 4 }{ 6 } +\frac { 1 }{ 6 } =\frac { }{ }$$

Question 10:
Jason is making a fruit drink. He mixes $$\frac { 2 }{ 8 }$$ quart of grape juice with $$\frac { 3 }{ 8 }$$ quart of apple juice. Then he adds $$\frac { 1 }{ 8 }$$ quart of lemonade. How much fruit drink does Jason make?
$$\frac { }{ }$$ quart.

Question 11:
A sum has five addends. Each addend is a unit fraction. The sum is 1. What are the addends?

Question 12:
In a survey, $$\frac { 4 }{ 12 }$$ of the students chose Friday and $$\frac { 5 }{ 12 }$$ chose Saturday as their favorite day of the week. What fraction shows the students who chose Friday or Saturday as their favorite day? Shade the model to show your answer.

$$\frac { }{ }$$

### Add and Subtract Parts of a Whole Page No – 400

Question 13:
Model Mathematics Jin is putting colored sand in a jar. She filled $$\frac {2 }{ 10}$$ of the jar with blue sand and $$\frac { 4}{ 10}$$ of the jar with pink sand. Describe one way to model the part of the jar filled with sand.

Have you ever seen a stained glass window in a building or home? Artists have been designing stained glass windows for hundreds of years.

Help design the stained glass sail on the boat below.

Materials • color pencils

Look at the eight triangles in the sail. Use the guide below to color the triangles:

• $$\frac {2 }{8 }$$ blue
• $$\frac {3 }{8 }$$ red
• $$\frac { 2}{ 8}$$ orange
• $$\frac {1 }{8 }$$ yellow

Question 14:
Write an Equation Write an equation that shows the fraction of triangles that are red or blue.

Question 15:
What color is the greatest part of the sail? Write a fraction for that color. How do you know that fraction is greater than the other fractions? Explain.

### Add Fractions Using Models – Page No 401

Find the sum. Use fraction strips to help.

Question 1:

Question 2:
$$\frac { 4 }{ 10 } +\frac { 5 }{ 10 } =\frac { }{ }$$

Question 3:
$$\frac { 1 }{ 3 } +\frac { 2 }{ 3 } =\frac { }{ }$$

Question 4:
$$\frac { 2 }{ 4 } +\frac { 1 }{ 4 } =\frac { }{ }$$

Question 5:
$$\frac { 2 }{ 12 } +\frac { 4 }{ 12 } =\frac { }{ }$$

Question 6:
$$\frac { 1 }{ 6 } +\frac { 3 }{ 6 } =\frac { }{ }$$

Question 7:
$$\frac { 3 }{ 12 } +\frac { 9 }{ 12 } =\frac { }{ }$$

Question 8:
$$\frac { 3 }{ 8 } +\frac { 4 }{ 8 } =\frac { }{ }$$

Question 9:
$$\frac { 3 }{ 4 } +\frac { 1 }{ 4 } =\frac { }{ }$$

Question 9:
$$\frac { 1 }{ 5 } +\frac { 2 }{ 5 } =\frac { }{ }$$

Question 10:
$$\frac { 6 }{ 10 } +\frac { 3 }{ 10 } =\frac { }{ }$$

Question 11:
Lola walks $$\frac { 4 }{ 10}$$ mile to her friend’s house. Then she walks $$\frac { 5 }{ 10 }$$ mile to the store. How far does she walk in all?

Question 12:
Evan eats $$\frac { 1 }{ 8 }$$ of a pan of lasagna and his brother eats $$\frac { 2 }{ 8 }$$ of it. What fraction of the pan of lasagna do they eat in all?

Question 13:
Jacqueline buys $$\frac { 2 }{ 4 }$$ yard of green ribbon and $$\frac { 1 }{ 4 }$$ yard of pink ribbon. How many yards of ribbon does she buy in all?

Question 14:
Shu mixes $$\frac { 2 }{ 3 }$$ pound of peanuts with $$\frac { 1 }{ 3 }$$ pound of almonds. How many pounds of nuts does Shu mix in all?

### Add Fractions Using Models – Lesson Check – Page No 402

Question 1:
Mary Jane has $$\frac { 3 }{ 8 }$$ of a medium pizza left. Hector has $$\frac { 2 }{ 8 }$$ of another medium pizza left. How much pizza do they have altogether?

(a) $$\frac { 1 }{ 8 }$$
(b) $$\frac { 4 }{ 8 }$$
(c) $$\frac { 5 }{ 8 }$$
(d) $$\frac { 6 }{ 8 }$$

Question 2:
Jeannie ate $$\frac { 1 }{ 4 }$$ of an apple. Kelly ate $$\frac { 2 }{ 4 }$$ of the apple. How much did they eat in all?

(a) $$\frac { 1 }{ 8 }$$
(b) $$\frac { 2 }{ 8 }$$
(c) $$\frac { 3 }{ 8 }$$
(d) $$\frac { 3 }{ 4 }$$

Question 3:
Karen is making 14 different kinds of greeting cards. She is making 12 of each kind. How many greeting cards is she making?

(a) 120
(b) 132
(c) 156
(d) 168

Question 4:
Jefferson works part-time and earns $1,520 in four weeks. How much does he earn each week? Answer: (a)$305
(b) $350 (c)$380
(d) $385 Question 5: By installing efficient water fixtures, the average American can reduce water use to about 45 gallons of water per day. Using such water fixtures, about how many gallons of water would the average American use in December? Answer: (a) about 1,200 gallons (b) about 1,500 gallons (c) about 1,600 gallons (d) about 2,000 gallons Question 6: Collin is making a bulletin board and note center. He is using square cork tiles and square dry-erase tiles. One of every 3 squares will be a cork square. If he uses 12 squares for the center, how many will be cork squares? Answer: (a) 3 (b) 4 (c) 6 (d) 8 ### Add Fractions Using Models – Lesson Check – Page No 405 Question 1: Lisa needs 45 pound of shrimp to make shrimp salad. She has 15 pound of shrimp. How much more shrimp does Lisa need to make the salad? Subtract $$\frac { 4 }{ 5 } – \frac { 1 }{ 5 }$$. Use the model to help. Shade the model to show how much shrimp Lisa needs. Then shade the model to show how much shrimp Lisa has. Compare the difference between the two shaded rows. $$\frac { 4 }{ 5 } – \frac { 1 }{ 5 } = \frac {■ }{ 5}$$ Lisa needs _____ pound more shrimp. Answer: Use the model to find the difference. Question 2: $$\frac { 3 }{ 6 } – \frac { 2 }{ 6 } = \frac {■ }{ 6}$$ Answer: Question 3: $$\frac { 8 }{ 10 } – \frac { 5 }{ 10 } = \frac {■ }{ 10}$$ Answer: Subtract. Use models to help. Question 4: $$\frac { 5 }{ 8 } – \frac { 2 }{ 8 } = \frac { }{ }$$ Answer: Question 5: $$\frac { 7 }{ 12 } – \frac { 2 }{ 12 } = \frac { }{ }$$ Answer: Question 6: $$\frac { 3 }{4 } – \frac { 2 }{ 4 } = \frac { }{ }$$ Answer: Question 7: $$\frac { 2 }{ 3 } – \frac { 1 }{ 3 } = \frac { }{ }$$ Answer: Question 8: $$\frac { 7 }{ 8 } – \frac { 5 }{ 8 } = \frac { }{ }$$ Answer: Question 9: Explain how you could find the unknown addend in $$\frac { 2 }{ 6 }$$ + _____ = 1 without using a model. Answer: ### Add Fractions Using Models – Lesson Check – Page No 406 Question 10: Mrs. Ruiz served a pie for dessert two nights in a row. The drawings below show the pie after her family ate dessert on each night. What fraction of the pie did they eat on the second night? $$\frac { }{ }$$ a. What do you need to know? b. How can you find the number of pieces eaten on the second night? c. Explain the steps you used to solve the problem. Complete the sentences. After the first night, _______ pieces were left. After the second night, _______ pieces were left. So, _______ of the pie was eaten on the second night. Answer: Question 11: Make Connection Between Models Judi ate $$\frac { 7}{8}$$ of a small pizza and Jack ate $$\frac { 2}{ 8 }$$ of a second small pizza. How much more of a pizza did Judi eat? $$\frac { }{ }$$ Answer: Question 12: Keiko sewed $$\frac { 3}{4}$$ yard of lace on her backpack. Pam sewed $$\frac { 1}{4}$$ yard of lace on her backpack. Shade the model to show how much more lace Keiko sewed on her backpack than Pam $$\frac { ■ }{ ■ }$$ Answer: ### Subtract Fractions Using Models – Page No 407 Subtract. Use fraction strips to help. Question 1: Answer: Question 2: $$\frac { 3}{ 4 } – \frac { 1}{ 4 } = \frac { —}{ — }$$ Question 3: $$\frac { 5}{ 6 } – \frac { 1}{ 6 } = \frac { —}{ — }$$ Answer: Question 4: $$\frac { 7}{ 8 } – \frac { 1}{ 8 } = \frac { —}{ — }$$ Answer: Question 5: $$\frac { 1}{ } – \frac { 2}{ 3 } = \frac { —}{ — }$$ Answer: Question 6: $$\frac { 8}{ 10 } – \frac { 2}{ 10 } = \frac { —}{ — }$$ Answer: Question 7: $$\frac { 3}{ 4 } – \frac { 1}{ 4 } = \frac { —}{ — }$$ Answer: Question 8: $$\frac { 7}{ 6 } – \frac {5}{ 6 } = \frac { —}{ — }$$ Answer: Problem Solving Use the table for 9 and 10. Question 9: Ena is making trail mix. She buys the items shown in the table. How many more pounds of pretzels than raisins does she buy? $$\frac { —}{ — }$$ Answer: Question 10: How many more pounds of granola than banana chips does she buy? $$\frac { —}{ — }$$ Answer: ### Subtract Fractions Using Models – Page No 408 Question 1: Lee reads for $$\frac { 3}{ 4}$$ hour in the morning and $$\frac {2}{ 4}$$ hour in the afternoon. How much longer does Lee read in the morning than in the afternoon? (a) 5 hours (b) $$\frac { 5}{ 4}$$ (c) $$\frac { 4}{ 4}$$ (d) $$\frac { 1}{ 4}$$ Answer: Question 2: Which equation does the model below represent? (a) $$\frac { 3}{ 6} – \frac { 2}{ 6} = \frac { 1}{ 6}$$ (b) $$\frac { 2}{ 6} – \frac { 1}{ 6} = \frac { 1}{ 6}$$ (c) $$\frac { 5}{ 6} – \frac { 3}{ 6} = \frac { 2}{ 6}$$ (d) 1 – $$\frac { 3}{ 6} = \frac {3}{ 6}$$ Answer: Question 3: A city received 2 inches of rain each day for 3 days. The meteorologist said that if the rain had been snow, each inch of rain would have been 10 inches of snow. How much snow would that city have received in the 3 days? (a) 20 inches (b) 30 inches (c) 50 inches (d) 60 inches Answer: Question 4: At a party there were four large submarine sandwiches, all the same size. During the party, $$\frac { 2}{ 3}$$ of the chicken sandwich, $$\frac { 3}{ 4}$$ of the tuna sandwich, $$\frac { 7}{ 12}$$ of the roast beef sandwich, and $$\frac { 5}{ 6}$$ of the veggie sandwich were eaten. Which sandwich had the least amount left? (a) chicken (b) tuna (c) roast beef (d) veggie Answer: Question 5: Deena uses $$\frac { 3}{ 8}$$ cup milk and $$\frac { 2}{ 8}$$ cup oil in a recipe. How much liquid does she use in all? (a) $$\frac {1}{ 8}$$ cup (b) $$\frac {5}{ 8}$$ cup (c) $$\frac {6}{ 8}$$ cup (d) 5 cups Answer: Question 6: In the car lot, $$\frac { 4}{ 12}$$ of the cars are white and $$\frac { 3}{ 12}$$ of the cars are blue. What fraction of the cars in the lot are either white or blue? (a) $$\frac { 1}{ 12}$$ (b) $$\frac { 7}{ 24}$$ (c) $$\frac { 7}{ 12}$$ (d) 7 Answer: ### Subtract Fractions Using Models – Page No 411 Question 1: 9 twelfth-size parts − 5 twelfth-size parts = $$\frac { —}{ — }$$ Answer: Question 2: $$\frac { 3}{ 12} + \frac {8}{ 12 } = \frac { —}{ — }$$ Answer: Question 3: $$\frac { 1}{ 3 } + \frac {1}{ 3 } = \frac { —}{ — }$$ Answer: Question 4: $$\frac { 3}{ 4 } – \frac {1}{ 4 } = \frac { —}{ — }$$ Answer: Question 5: $$\frac { 2}{ 6 } + \frac {2}{ 6 } = \frac { —}{ — }$$ Answer: Question 6: $$\frac { 3}{ 8 } – \frac {1}{ 8 } = \frac { —}{ — }$$ Answer: Question 7: $$\frac { 6}{ 10 } – \frac {2}{ 10 } = \frac { —}{ — }$$ Answer: Question 8: $$\frac { 1}{ 2 } – \frac {1}{2 } = \frac { —}{ — }$$ Answer: Question 9: $$\frac {5}{ 6 } – \frac {4}{ 6 } = \frac { —}{ — }$$ Answer: Question 10: $$\frac { 4}{ 5 } – \frac {2}{ 5 } = \frac { —}{ — }$$ Answer: Question 11: $$\frac { 1}{ 4 } + \frac {1}{ 4 } = \frac { —}{ — }$$ Answer: Question 12: $$\frac { 9}{ 10 } – \frac {5}{ 10 } = \frac { —}{ — }$$ Answer: Question 13: $$\frac { 1}{ 12 } + \frac {7}{ 12 } = \frac { —}{ — }$$ Answer: Question 14: Christopher mixes $$\frac { 3}{ 8}$$ gallon of red paint with $$\frac { 5}{ 8}$$ gallon of blue paint to make purple paint. He uses $$\frac { 2}{8}$$ gallon of the purple paint. How much purple paint is left? $$\frac { —}{ — }$$ gallon Answer: Question 15: A city worker is painting a stripe down the center of Main Street. Main Street is $$\frac { 8}{ 10}$$ mile long. The worker painted $$\frac { 4}{ 10}$$ mile of the street. Explain how to find what part of a mile is left to paint. $$\frac { —}{ — }$$ mile Answer: Question 16: Sense or Nonsense? Brian says that when you add or subtract fractions with the same denominator, you can add or subtract the numerators and keep the same denominator. Is Brian correct? Explain. Answer: Question 17: The length of a rope was $$\frac { 6}{8}$$ yard. Jeff cut the rope into 3 pieces. Each piece is a different length measured in eighths of a yard. What is the length of each piece of rope? Answer: Question 18: For 18a–18d, choose Yes or No to show if the sum or difference is correct. a. $$\frac { 3}{ 5 } – \frac {1}{ 5 } = \frac {4 }{5 }$$ (i) yes (ii) no b. $$\frac { 1}{ 4 } – \frac {2}{4 } = \frac {3 }{8 }$$ (i) yes (ii) no c. $$\frac { 5}{ 8} – \frac {4}{ 8 } = \frac {1 }{8 }$$ (i) yes (ii) no d. $$\frac { 4}{ 9 } – \frac {2}{ 9 } = \frac {6 }{9 }$$ (i) yes (ii) no Answer: ### Sense or Nonsense? – Page No. 412 Question 19. Harry says that $$\frac{1}{4}$$ + $$\frac{1}{8}$$ = $$\frac{2}{8}$$. Jane says $$\frac{1}{4}$$ + $$\frac{1}{8}$$ = $$\frac{3}{8}$$. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning. Draw a model to help. Type below: ___________ ### Add and Subtract Fractions – Page No. 413 Find the sum or difference. Question 1. Question 2. $$\frac{3}{6}-\frac{1}{6}$$ = $$\frac{□}{□}$$ Question 3. $$\frac{4}{5}-\frac{3}{5}$$ = $$\frac{□}{□}$$ Question 4. $$\frac{6}{10}+\frac{3}{10}$$ = $$\frac{□}{□}$$ Question 5. 1 – $$\frac{3}{8}$$ = $$\frac{□}{□}$$ Question 6. $$\frac{1}{4}+\frac{2}{4}$$ = $$\frac{□}{□}$$ Question 7. $$\frac{9}{12}-\frac{5}{12}$$ = $$\frac{□}{□}$$ Question 8. $$\frac{5}{6}-\frac{2}{6}$$ = $$\frac{□}{□}$$ Question 9. $$\frac{2}{3}+\frac{1}{3}$$ = $$\frac{□}{□}$$ Problem Solving Use the table for 10 and 11. Question 10. Guy finds how far his house is from several locations and makes the table shown. How much farther away from Guy’s house is the library than the cafe? $$\frac{□}{□}$$ Question 11. If Guy walks from his house to school and back, how far does he walk? $$\frac{□}{□}$$ ### Add and Subtract Fractions – Lesson Check – Page No. 414 Question 1. Mr. Angulo buys $$\frac{5}{8}$$ pound of red grapes and $$\frac{3}{8}$$pound of green grapes. How many pounds of grapes did Mr. Angulo buy in all? Options: a. $$\frac{1}{8}$$ pound b. $$\frac{2}{8}$$ pound c. 1 pound d. 2 pounds Question 2. Which equation does the model below represent? Options: a. $$\frac{7}{8}$$ + $$\frac{2}{8}$$ = $$\frac{9}{8}$$ b. $$\frac{5}{8}$$ – $$\frac{2}{8}$$ = $$\frac{3}{8}$$ c. $$\frac{8}{8}$$ – $$\frac{5}{8}$$ = $$\frac{3}{8}$$ d. $$\frac{7}{8}$$ – $$\frac{2}{8}$$ = $$\frac{5}{8}$$ Spiral Review Question 3. There are 6 muffins in a package. How many packages will be needed to feed 48 people if each person has 2 muffins? Options: a. 4 b. 8 c. 16 d. 24 Question 4. Camp Oaks gets 32 boxes of orange juice and 56 boxes of apple juice. Each shelf in the cupboard can hold 8 boxes of juice. What is the least number of shelves needed for all the juice boxes? Options: a. 4 b. 7 c. 11 d. 88 Question 5. A machine makes 18 parts each hour. If the machine operates 24 hours a day, how many parts can it make in one day Options: a. 302 b. 332 c. 362 d. 432 Question 6. Which equation does the model below represent? Options: a. $$\frac{5}{6}$$ – $$\frac{4}{6}$$ = $$\frac{1}{6}$$ b. $$\frac{4}{5}$$ – $$\frac{1}{5}$$ = $$\frac{3}{5}$$ c. $$\frac{5}{5}$$ – $$\frac{4}{5}$$ = $$\frac{1}{5}$$ d. $$\frac{6}{6}$$ – $$\frac{4}{6}$$ = $$\frac{2}{6}$$ ### Add and Subtract Fractions – Page No. 415 Choose the best term from the box. Question 1. A ___________ always has a numerator of 1. ________________ Write the fraction as a sum of unit fractions. Question 2. Type below: ____________ Question 3. Type below: ____________ Use the model to write an equation. Question 4. Type below: _________ Question 5. Type below: _________ Use the model to solve the equation. Question 6. $$\frac{3}{8}+\frac{2}{8}$$ = $$\frac{□}{□}$$ Question 7. $$\frac{4}{10}+\frac{5}{10}$$ = $$\frac{□}{□}$$ Find the sum or difference. Question 8. $$\frac{9}{12}-\frac{7}{12}$$ = $$\frac{□}{□}$$ Question 9. $$\frac{2}{3}+\frac{1}{3}$$ = $$\frac{□}{□}$$ Question 10. $$\frac{1}{5}+\frac{3}{5}$$ = $$\frac{□}{□}$$ Question 11. $$\frac{2}{6}+\frac{2}{6}$$ = $$\frac{□}{□}$$ Question 12. $$\frac{4}{4}-\frac{2}{4}$$ = $$\frac{□}{□}$$ Question 13. $$\frac{7}{8}-\frac{4}{8}$$ = $$\frac{□}{□}$$ ### Add and Subtract Fractions – Page No. 416 Question 14. Tyrone mixed $$\frac{7}{12}$$ quart of red paint with $$\frac{1}{12}$$ quart of yellow paint. How much paint does Tyrone have in the mixture? $$\frac{□}{□}$$ quart Question 15. Jorge lives $$\frac{6}{8}$$ mile from school and $$\frac{2}{8}$$ mile from a ballpark. How much farther does Jorge live from school than from the ballpark? $$\frac{□}{□}$$ mile Question 16. Su Ling started an art project with 1 yard of felt. She used $$\frac{2}{6}$$ yard on Tuesday and $$\frac{3}{6}$$ yard on Wednesday. How much felt does Su Ling have left? $$\frac{□}{□}$$ yard Question 17. Eloise hung artwork on $$\frac{2}{5}$$ of a bulletin board. She hung math papers on $$\frac{1}{5}$$ of the same bulletin board. What part of the bulletin board has artwork or math papers? $$\frac{□}{□}$$ ### Add and Subtract Fractions – Page No. 419 Write the unknown numbers. Write mixed numbers above the number line and fractions greater than one below the number line. Question 1. Type below: ___________ Write the mixed number as a fraction. Question 2. 1 $$\frac{1}{8}$$ = $$\frac{□}{□}$$ Question 3. 1 $$\frac{3}{5}$$ = $$\frac{□}{□}$$ Question 4. 1 $$\frac{2}{3}$$ = $$\frac{□}{□}$$ Write the fraction as a mixed number. Question 5. $$\frac{11}{4}$$ = _____ $$\frac{□}{□}$$ Question 6. $$\frac{6}{5}$$ = _____ $$\frac{□}{□}$$ Question 7. $$\frac{13}{10}$$ = _____ $$\frac{□}{□}$$ Write the mixed number as a fraction. Question 8. 2 $$\frac{7}{10}$$ = $$\frac{□}{□}$$ Question 9. 3 $$\frac{2}{3}$$ = $$\frac{□}{□}$$ Question 10. 4 $$\frac{2}{5}$$ = $$\frac{□}{□}$$ Use Repeated Reasoning Algebra Find the unknown numbers. Question 11. $$\frac{13}{7}$$ = 1 $$\frac{■}{7}$$ ■ = _____ Question 12. ■ $$\frac{5}{6}$$ = $$\frac{23}{6}$$ ■ = _____ Question 13. $$\frac{57}{11}$$ = ■ $$\frac{■}{11}$$ _____ $$\frac{□}{□}$$ Question 14. Pen has $$\frac{1}{2}$$-cup and $$\frac{1}{8}$$-cup measuring cups. What are two ways he could measure out 1 $$\frac{3}{4}$$ cups of flour? Type below: _________________ Question 15. Juanita is making bread. She needs 3 $$\frac{1}{2}$$ cups of flour. Juanita only has a $$\frac{1}{4}$$-cup measuring cup. How many $$\frac{1}{4}$$ cups of flour will Juanita use to prepare the bread? _____ $$\frac{1}{4}$$ cups of flou ### Add and Subtract Fractions – Page No. 420 Use the recipe to solve 16–18. Question 16. Reason Quantitatively Cal is making energy squares. How many $$\frac{1}{2}$$ cups of peanut butter are used in the recipe? _____ $$\frac{1}{2}$$ cups of peanut butter Question 17. Suppose Cal wants to make 2 times as many energy squares as the recipe makes. How many cups of bran cereal should he use? Write your answer as a mixed number and as a fraction greater than 1 in simplest form. Type below: ____________ Question 18. Cal added 2 $$\frac{3}{8}$$ cups of raisins. Write this mixed number as a fraction greater than 1 in simplest form. $$\frac{□}{□}$$ Question 19. Jenn is preparing brown rice. She needs 1 $$\frac{1}{2}$$ cups of brown rice and 2 cups of water. Jenn has only a $$\frac{1}{8}$$– cup measuring cup. How many $$\frac{1}{8}$$ cups each of rice and water will Jenn use to prepare the rice? brown rice: ________ $$\frac{1}{8}$$ cups water: _________ $$\frac{1}{8}$$ cups Question 20. Draw a line to show the mixed number and fraction that have the same value. Type below: ____________ ### Rename Fractions and Mixed Numbers – Page No. 421 Write the mixed number as a fraction. Question 1. 2 $$\frac{3}{5}$$ Question 2. 4 $$\frac{1}{3}$$ $$\frac{□}{□}$$ Question 3. 1 $$\frac{2}{5}$$ $$\frac{□}{□}$$ Question 4. 3 $$\frac{3}{2}$$ $$\frac{□}{□}$$ Question 5. 4 $$\frac{1}{8}$$ $$\frac{□}{□}$$ Question 6. 1 $$\frac{7}{10}$$ $$\frac{□}{□}$$ Question 7. 5 $$\frac{1}{2}$$ $$\frac{□}{□}$$ Question 8. 2 $$\frac{3}{8}$$ $$\frac{□}{□}$$ Write the fraction as a mixed number. Question 9. $$\frac{31}{6}$$ ______ $$\frac{□}{□}$$ Question 10. $$\frac{20}{10}$$ ______ $$\frac{□}{□}$$ Question 11. $$\frac{15}{8}$$ ______ $$\frac{□}{□}$$ Question 12. $$\frac{13}{6}$$ ______ $$\frac{□}{□}$$ Question 13. $$\frac{23}{10}$$ ______ $$\frac{□}{□}$$ Question 14. $$\frac{19}{5}$$ ______ $$\frac{□}{□}$$ Question 15. $$\frac{11}{3}$$ ______ $$\frac{□}{□}$$ Question 16. $$\frac{9}{2}$$ ______ $$\frac{□}{□}$$ Question 17. A recipe calls for 2 $$\frac{2}{4}$$ cups of raisins, but Julie only has a $$\frac{1}{4}$$ -cup measuring cup. How many $$\frac{1}{4}$$ cups does Julie need to measure out 2 $$\frac{2}{4}$$ cups of raisins? She needs ______ $$\frac{1}{4}$$ cups Question 18. If Julie needs 3 $$\frac{1}{4}$$ cups of oatmeal, how many $$\frac{1}{4}$$ cups of oatmeal will she use? She will use ______ $$\frac{1}{4}$$ cups of oatmeal ### Rename Fractions and Mixed Numbers – Lesson Check – Page No. 422 Question 1. Which of the following is equivalent to $$\frac{16}{3}$$ ? Options: a. 3 $$\frac{1}{5}$$ b. 3 $$\frac{2}{5}$$ c. 5 $$\frac{1}{3}$$ d. 5 $$\frac{6}{3}$$ Question 2. Stacey filled her $$\frac{1}{2}$$cup measuring cup seven times to have enough flour for a cake recipe. How much flour does the cake recipe call for? Options: a. 3 cups b. 3 $$\frac{1}{2}$$ cups c. 4 cups d. 4 $$\frac{1}{2}$$ cups Spiral Review Question 3. Becki put some stamps into her stamp collection book. She put 14 stamps on each page. If she completely filled 16 pages, how many stamps did she put in the book? Options: a. 224 b. 240 c. 272 d. 275 Question 4. Brian is driving 324 miles to visit some friends. He wants to get there in 6 hours. How many miles does he need to drive each hour? Options: a. 48 miles b. 50 miles c. 52 miles d. 54 miles Question 5. During a bike challenge, riders have to collect various colored ribbons. Each $$\frac{1}{2}$$ mile they collect a red ribbon, each $$\frac{1}{8}$$ mile they collect a green ribbon, and each $$\frac{1}{4}$$ mile they collect a blue ribbon. Which colors of ribbons will be collected at the $$\frac{3}{4}$$ mile marker? Options: a. red and green b. red and blue c. green and blue d. red, green, and blue Question 6. Stephanie had $$\frac{7}{8}$$ pound of bird seed. She used $$\frac{3}{8}$$ pound to fill a bird feeder. How much bird seed does Stephanie have left? Options: a. $$\frac{3}{8}$$ pound b. $$\frac{4}{8}$$ pound c. 1 pound d. $$\frac{10}{8}$$ pound ### Rename Fractions and Mixed Numbers – Page No. 425 Write the sum as a mixed number with the fractional part less than 1. Question 1. 1 $$\frac{1}{6}$$ +3 $$\frac{3}{6}$$ ———————– _______ $$\frac{□}{□}$$ Question 2. 1 $$\frac{4}{5}$$ +7 $$\frac{2}{5}$$ ———————– _______ $$\frac{□}{□}$$ Question 3. 2 $$\frac{1}{2}$$ +3 $$\frac{1}{2}$$ ———————– _______ Find the difference. Question 4. 3 $$\frac{7}{12}$$ -2 $$\frac{5}{12}$$ ———————– _______ $$\frac{□}{□}$$ Question 5. 4 $$\frac{2}{3}$$ -3 $$\frac{1}{3}$$ ———————– _______ $$\frac{□}{□}$$ Question 6. 6 $$\frac{9}{10}$$ -3 $$\frac{7}{10}$$ ———————– _______ $$\frac{□}{□}$$ Write the sum as a mixed number with the fractional part less than 1. Question 7. 7 $$\frac{4}{6}$$ +4 $$\frac{3}{6}$$ ———————– _______ $$\frac{□}{□}$$ Question 8. 8 $$\frac{1}{3}$$ +3 $$\frac{2}{3}$$ ———————– _______ $$\frac{□}{□}$$ Question 9. 5 $$\frac{4}{8}$$ +3 $$\frac{5}{8}$$ ———————– _______ $$\frac{□}{□}$$ Question 10. 5 $$\frac{5}{12}$$ +4 $$\frac{2}{12}$$ ———————– _______ $$\frac{□}{□}$$ Find the difference. Question 11. 5 $$\frac{7}{8}$$ -2 $$\frac{3}{8}$$ ———————– _______ $$\frac{□}{□}$$ Question 12. 5 $$\frac{7}{12}$$ -4 $$\frac{1}{12}$$ ———————– _______ $$\frac{□}{□}$$ Question 13. 3 $$\frac{5}{10}$$ -1 $$\frac{3}{10}$$ ———————– _______ $$\frac{□}{□}$$ Question 14. 7 $$\frac{3}{4}$$ -2 $$\frac{2}{4}$$ ———————– _______ $$\frac{□}{□}$$ Practice: Copy and Solve Find the sum or difference. Question 15. $$1 \frac{3}{8}+2 \frac{7}{8}$$ = _______ $$\frac{□}{□}$$ Question 16. $$6 \frac{5}{8}$$ – 4 = _______ $$\frac{□}{□}$$ Question 17. $$9 \frac{1}{2}+8 \frac{1}{2}$$ = _______ Question 18. $$6 \frac{3}{5}+4 \frac{3}{5}$$ = _______ $$\frac{□}{□}$$ Question 19. $$8 \frac{7}{10}-\frac{4}{10}$$ = _______ $$\frac{□}{□}$$ Question 20. $$7 \frac{3}{5}-6 \frac{3}{5}$$ = _______ ### Rename Fractions and Mixed Numbers – Page No. 426 Solve. Write your answer as a mixed number. Question 21. Make Sense of Problems The driving distance from Alex’s house to the museum is 6 $$\frac{7}{10}$$ miles. What is the round-trip distance? _______ $$\frac{□}{□}$$ miles Question 22. The driving distance from the sports arena to Kristina’s house is 10 $$\frac{9}{10}$$ miles. The distance from the sports arena to Luke’s house is 2 $$\frac{7}{10}$$ miles. How much greater is the driving distance between the sports arena and Kristina’s house than between the sports arena and Luke’s house? _______ $$\frac{□}{□}$$ miles Question 23. Pedro biked from his house to the nature preserve, a distance of 23 $$\frac{4}{5}$$ miles. Sandra biked from her house to the lake, a distance of 12 $$\frac{2}{5}$$ miles. How many miles less did Sandra bike than Pedro? _______ $$\frac{□}{□}$$ miles Question 24. During the Martinez family trip, they drove from home to a ski lodge, a distance of 55 $$\frac{4}{5}$$ miles, and then drove an additional 12 $$\frac{4}{5}$$ miles to visit friends. If the family drove the same route back home, what was the distance traveled during their trip? _______ $$\frac{□}{□}$$ miles Question 25. For 25a–25d, select True or False for each statement. a. 2 $$\frac{3}{8}$$ + 1 $$\frac{6}{8}$$ is equal to 4 $$\frac{1}{8}$$. i. True ii. False Question 25. b. 1 $$\frac{1}{6}$$ + 1 $$\frac{4}{12}$$ is equal to 2 $$\frac{2}{12}$$. i. True ii. False Question 25. c. 5 $$\frac{5}{6}$$ – 2 $$\frac{4}{6}$$ is equal to 1 $$\frac{3}{6}$$. i. True ii. False Question 25. d. 5 $$\frac{5}{8}$$ – 3 $$\frac{2}{8}$$ is equal to 2 $$\frac{3}{8}$$. i. True ii. False ### Add and Subtract Mixed Numbers – Page No. 427 Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Question 1. Question 2. 4 $$\frac{1}{2}$$ +2 $$\frac{1}{2}$$ _______ $$\frac{□}{□}$$ Question 3. 2 $$\frac{2}{3}$$ +3 $$\frac{2}{3}$$ _______ $$\frac{□}{□}$$ Question 4. 6 $$\frac{4}{5}$$ +7 $$\frac{4}{5}$$ _______ $$\frac{□}{□}$$ Question 5. 9 $$\frac{3}{6}$$ +2 $$\frac{2}{6}$$ _______ $$\frac{□}{□}$$ Question 6. 8 $$\frac{4}{12}$$ +3 $$\frac{6}{12}$$ _______ $$\frac{□}{□}$$ Question 7. 4 $$\frac{3}{8}$$ +1 $$\frac{5}{8}$$ _______ $$\frac{□}{□}$$ Question 8. 9 $$\frac{5}{10}$$ +6 $$\frac{3}{10}$$ _______ $$\frac{□}{□}$$ Find the difference. Question 9. 6 $$\frac{7}{8}$$ -4 $$\frac{3}{8}$$ _______ $$\frac{□}{□}$$ Question 10. 4 $$\frac{2}{3}$$ -3 $$\frac{1}{3}$$ _______ $$\frac{□}{□}$$ Question 11. 6 $$\frac{4}{5}$$ -3 $$\frac{3}{5}$$ _______ $$\frac{□}{□}$$ Question 12. 7 $$\frac{3}{4}$$ -2 $$\frac{1}{4}$$ _______ $$\frac{□}{□}$$ Problem Solving Question 13. James wants to send two gifts by mail. One package weighs 2 $$\frac{3}{4}$$ pounds. The other package weighs 1 $$\frac{3}{4}$$ pounds. What is the total weight of the packages? _______ $$\frac{□}{□}$$ Question 14. Tierra bought 4 $$\frac{3}{8}$$ yards blue ribbon and 2 $$\frac{1}{8}$$ yards yellow ribbon for a craft project. How much more blue ribbon than yellow ribbon did Tierra buy? _______ $$\frac{□}{□}$$ ### Add and Subtract Mixed Numbers – Lesson Check – Page No. 428 Question 1. Brad has two lengths of copper pipe to fit together. One has a length of 2 $$\frac{5}{12}$$ feet and the other has a length of 3 $$\frac{7}{12}$$ feet. How many feet of pipe does he have in all? Options: a. 5 feet b. 5 $$\frac{6}{12}$$ feet c. 5 $$\frac{10}{12}$$ feet d. 6 feet Question 2. A pattern calls for 2 $$\frac{1}{4}$$ yards of material and 1 $$\frac{1}{4}$$ yards of lining. How much total fabric is needed? Options: a. 2 $$\frac{2}{4}$$ yards b. 3 yards c. 3 $$\frac{1}{4}$$ yards d. 3 $$\frac{2}{4}$$ yards Spiral Review Question 3. Shanice has 23 baseball trading cards of star players. She agrees to sell them for$16 each. How much will she get for the cards?
Options:
a. $258 b.$358
c. $368 d.$468

Question 4.
Nanci is volunteering at the animal shelter. She wants to spend an equal amount of time playing with each dog. She has 145 minutes to play with all 7 dogs. About how much time can she spend with each dog?
Options:

Question 5.
Frieda has 12 red apples and 15 green apples. She is going to share the apples equally among 8 people and keep any extra apples for herself. How many apples
will Frieda keep for herself?
Options:
a. 3
b. 4
c. 6
d. 7

Question 6.
The Lynch family bought a house for $75,300. A few years later, they sold the house for$80,250. How much greater was the selling price than the purchase price?
Options:
a. $4,950 b.$5,050
c. $5,150 d.$5,950

### Add and Subtract Mixed Numbers – Page No. 431

Question 1.
Rename both mixed numbers as fractions. Find the difference.
3 $$\frac{3}{6}$$ = $$\frac{■}{6}$$
−1 $$\frac{4}{6}$$ = – $$\frac{■}{6}$$
—————————————-
_______ $$\frac{□}{□}$$

Find the difference.

Question 2.
1 $$\frac{1}{3}$$
− $$\frac{2}{3}$$
———————
$$\frac{□}{□}$$

Question 3.
4 $$\frac{7}{10}$$
− 1 $$\frac{9}{10}$$
———————
______ $$\frac{□}{□}$$

Question 4.
3 $$\frac{5}{12}$$
− $$\frac{8}{12}$$
———————
_____ $$\frac{□}{□}$$

Question 5.
8 $$\frac{1}{10}$$
− 2 $$\frac{9}{10}$$
———————
$$\frac{□}{□}$$

Question 6.
2
− 1 $$\frac{1}{4}$$
———————
$$\frac{□}{□}$$

Question 7.
4 $$\frac{1}{5}$$
− 3 $$\frac{2}{5}$$
———————
$$\frac{□}{□}$$

Practice: Copy and Solve Find the difference.

Question 8.
$$4 \frac{1}{6}-2 \frac{5}{6}$$
_____ $$\frac{□}{□}$$

Question 9.
$$6 \frac{9}{12}-3 \frac{10}{12}$$
_____ $$\frac{□}{□}$$

Question 10.
$$3 \frac{3}{10}-\frac{7}{10}$$
_____ $$\frac{□}{□}$$

Question 11.
4 – 2 $$\frac{3}{5}$$
_____ $$\frac{□}{□}$$

Question 12.
Lisa mixed 4 $$\frac{2}{6}$$ cups of orange juice with 3 $$\frac{1}{6}$$ cups of pineapple juice to make fruit punch. She and her friends drank 3 $$\frac{4}{6}$$ cups of the punch. How much of the fruit punch is left?
_____ $$\frac{□}{□}$$ cups

### Add and Subtract Mixed Numbers – Page No. 432

Rename the fractions to solve.

Many instruments are coiled or curved so that they are easier for the musician to play, but they would be quite long if straightened out completely.

Question 13.
Analyze Relationships Trumpets and cornets are brass instruments. Fully stretched out, the length of a trumpet is 5 $$\frac{1}{4}$$ feet and the length of a cornet is 4 $$\frac{2}{4}$$ feet. The trumpet is how much longer than the cornet?
$$\frac{□}{□}$$ feet

Question 14.
Tubas, trombones, and French horns are brass instruments. Fully stretched out, the length of a tuba is 18 feet, the length of a trombone is 9 $$\frac{11}{12}$$ feet, and the length of a French horn is 17 $$\frac{1}{12}$$ feet. The tuba is how much longer than the French horn? The French horn is how much longer than the trombone?
Type below:
_____________

Question 15.
The pitch of a musical instrument is related to its length. In general, the greater the length of a musical instrument, the lower its pitch. Order the brass instruments identified on this page from lowest pitch to the highest pitch.
____________
____________
____________

Question 16.
Alicia had 3 $$\frac{1}{6}$$yards of fabric. After making a tablecloth, she had 1 $$\frac{3}{6}$$ yards of fabric. Alicia said she used 2 $$\frac{3}{6}$$ yards of fabric for the tablecloth. Do you agree? Explain.
______

### Record Subtraction with Renaming – Page No. 433

Find the difference.

Question 1.

Question 2.
6
− 3 $$\frac{2}{5}$$
_______ $$\frac{□}{□}$$

Question 3.
5 $$\frac{1}{4}$$
− 2 $$\frac{3}{4}$$
_______ $$\frac{□}{□}$$

Question 4.
9 $$\frac{3}{8}$$
− 8 $$\frac{7}{8}$$
$$\frac{□}{□}$$

Question 5.
12 $$\frac{3}{10}$$
− 7 $$\frac{7}{10}$$
______ $$\frac{□}{□}$$

Question 6.
8 $$\frac{1}{6}$$
− 3 $$\frac{5}{6}$$
_____ $$\frac{□}{□}$$

Question 7.
7 $$\frac{3}{5}$$
− 4 $$\frac{4}{5}$$
_____ $$\frac{□}{□}$$

Question 8.
10 $$\frac{1}{2}$$
− 8 $$\frac{1}{2}$$
_____ $$\frac{□}{□}$$

Question 9.
7 $$\frac{1}{6}$$
− 2 $$\frac{5}{6}$$
_____ $$\frac{□}{□}$$

Question 10.
9 $$\frac{3}{12}$$
− 4 $$\frac{7}{12}$$
_____ $$\frac{□}{□}$$

Question 11.
9 $$\frac{1}{10}$$
− 8 $$\frac{7}{10}$$
_____ $$\frac{□}{□}$$

Question 12.
9 $$\frac{1}{3}$$
− $$\frac{2}{3}$$
_____ $$\frac{□}{□}$$

Question 13.
3 $$\frac{1}{4}$$
− 1 $$\frac{3}{4}$$
_____ $$\frac{□}{□}$$

Question 14.
4 $$\frac{5}{8}$$
− 1 $$\frac{7}{8}$$
_____ $$\frac{□}{□}$$

Question 15.
5 $$\frac{1}{12}$$
− 3 $$\frac{8}{12}$$
_____ $$\frac{□}{□}$$

Question 16.
7
− 1 $$\frac{3}{5}$$
_____ $$\frac{□}{□}$$

Problem Solving

Question 17.
Alicia buys a 5-pound bag of rocks for a fish tank. She uses 1 $$\frac{1}{8}$$ pounds for a small fish bowl. How much is left?
_____ $$\frac{□}{□}$$

Question 18.
Xavier made 25 pounds of roasted almonds for a fair. He has 3 $$\frac{1}{2}$$ pounds left at the end of the fair. How many pounds of roasted almonds did he sell at the fair?
_____ $$\frac{□}{□}$$

### Record Subtraction with Renaming – Lesson Check – Page No. 434

Question 1.
Reggie is making a double-layer cake. The recipe for the first layer calls for 2 $$\frac{1}{4}$$ cups sugar. The recipe for the second layer calls for 1 $$\frac{1}{4}$$ cups sugar. Reggie has 5 cups of sugar. How much will he have left after making both recipes?
Options:
a. 1 $$\frac{1}{4}$$ cups
b. 1 $$\frac{2}{4}$$ cups
c. 2 $$\frac{1}{4}$$ cups
d. 2 $$\frac{2}{4}$$ cups

Question 2.
Kate has 4 $$\frac{3}{8}$$ yards of fabric and needs 2 $$\frac{7}{8}$$ yards to make a skirt. How much extra fabric will she have left after making the skirt?
Options:
a. 2 $$\frac{4}{8}$$ yards
b. 2 $$\frac{2}{8}$$ yards
c. 1 $$\frac{4}{8}$$ yards
d. 1 $$\frac{2}{8}$$ yards

Spiral Review

Question 3.
Paulo has 128 glass beads to use to decorate picture frames. He wants to use the same number of beads on each frame. If he decorates 8 picture frames, how many beads will he put on each frame?
Options:
a. 6
b. 7
c. 14
d. 16

Question 4.
Madison is making party favors. She wants to make enough favors so each guest gets the same number of favors. She knows there will be 6 or 8 guests at the party. What is the least number of party favors Madison should make?
Options:
a. 18
b. 24
c. 30
d. 32

Question 5.
A shuttle bus makes 4 round-trips between two shopping centers each day. The bus holds 24 people. If the bus is full on each one-way trip, how many passengers are carried by the bus each day?
Options:
a. 96
b. 162
c. 182
d. 192

Question 6.
To make a fruit salad, Marvin mixes 1 $$\frac{3}{4}$$ cups of diced peaches with 2 $$\frac{1}{4}$$ cups of diced pears. How many cups of peaches and pears are in the fruit salad?
Options:
a. 4 cups
b. 3 $$\frac{2}{4}$$ cups
c. 3 $$\frac{1}{4}$$ cups
d. 3 cups

### Record Subtraction with Renaming – Page No. 437

Question 1.
Complete. Name the property used.
$$\left(3 \frac{4}{10}+5 \frac{2}{10}\right)+\frac{6}{10}$$
______ $$\frac{□}{□}$$

Use the properties and mental math to find the sum.

Question 2.
$$\left(2 \frac{7}{8}+3 \frac{2}{8}\right)+1 \frac{1}{8}$$
______ $$\frac{□}{□}$$

Question 3.
$$1 \frac{2}{5}+\left(1+\frac{3}{5}\right)$$
______

Question 4.
$$5 \frac{3}{6}+\left(5 \frac{5}{6}+4 \frac{3}{6}\right)$$
______ $$\frac{□}{□}$$

Question 5.
$$\left(1 \frac{1}{4}+1 \frac{1}{4}\right)+2 \frac{3}{4}$$
______ $$\frac{□}{□}$$

Question 6.
$$\left(12 \frac{4}{9}+1 \frac{2}{9}\right)+3 \frac{5}{9}$$
______ $$\frac{□}{□}$$

Question 7.
$$\left(\frac{3}{12}+1 \frac{8}{12}\right)+\frac{9}{12}$$
______ $$\frac{□}{□}$$

Use the properties and mental math to find the sum.

Question 8.
$$\left(45 \frac{1}{3}+6 \frac{1}{3}\right)+38 \frac{2}{3}$$
______ $$\frac{□}{□}$$

Question 9.
$$\frac{1}{2}+\left(103 \frac{1}{2}+12\right)$$
______ $$\frac{□}{□}$$

Question 10.
$$\left(3 \frac{5}{10}+10\right)+11 \frac{5}{10}$$
______

Question 11.
Pablo is training for a marathon. He ran 5 $$\frac{4}{8}$$ miles on Friday, 6 $$\frac{5}{8}$$ miles on Saturday, and 7 $$\frac{4}{8}$$ miles on Sunday. How many miles did he run on all three days?
______ $$\frac{□}{□}$$ miles

Question 12.
At lunchtime, Dale’s Diner served a total of 2 $$\frac{2}{6}$$ pots of vegetable soup, 3 $$\frac{5}{6}$$ pots of chicken soup, and 4 $$\frac{3}{6}$$ pots of tomato soup. How many pots of soup were served in all?
______ $$\frac{□}{□}$$ pots

Use the expressions in the box for 13–14.

Question 13.
Which property of addition would you use to regroup the addends in Expression A?
______ property

Question 14.
Which two expressions have the same value?
________ and _________

Question 15.
Match the equation with the property used.

Type below:
_________

### Record Subtraction with Renaming – Page No. 438

Pose a Problem

Question 16.
Costumes are being made for the high school musical. The table at the right shows the amount of fabric needed for the costumes of the male and female leads. Alice uses the expression $$7 \frac{3}{8}+1 \frac{5}{8}+2 \frac{4}{8}$$ to find the total amount of fabric needed for the costume of the female lead. To find the value of the expression using mental math, Alice used the properties of addition.
$$7 \frac{3}{8}+1 \frac{5}{8}+2 \frac{4}{8}=\left(7 \frac{3}{8}+1 \frac{5}{8}\right)+2 \frac{4}{8}$$
Alice added 7 + 1 and was able to quickly add $$\frac{3}{8}$$ and $$\frac{5}{8}$$ to the sum of 8 to get 9. She added 2 $$\frac{4}{8}$$ to 9, so her answer was 11 $$\frac{4}{8}$$.
So, the amount of fabric needed for the costume of the female lead actor is 11 $$\frac{4}{8}$$ yards.
Write a new problem using the information for the costume for the male lead actor.
Type below:
_____________

Question 16.
Identify Relationships Explain how using the properties of addition makes both problems easier to solve.
Type below:
____________

### Fractions and Properties of Addition – Page No. 439

Use the properties and mental math to find the sum.

Question 1.

Question 2.
$$10 \frac{1}{8}+\left(3 \frac{5}{8}+2 \frac{7}{8}\right)$$
_______ $$\frac{□}{□}$$

Question 3.
$$8 \frac{1}{5}+\left(3 \frac{2}{5}+5 \frac{4}{5}\right)$$
_______ $$\frac{□}{□}$$

Question 4.
$$6 \frac{3}{4}+\left(4 \frac{2}{4}+5 \frac{1}{4}\right)$$
_______ $$\frac{□}{□}$$

Question 5.
$$\left(6 \frac{3}{6}+10 \frac{4}{6}\right)+9 \frac{2}{6}$$
_______ $$\frac{□}{□}$$

Question 6.
$$\left(6 \frac{2}{5}+1 \frac{4}{5}\right)+3 \frac{1}{5}$$
_______ $$\frac{□}{□}$$

Question 7.
$$7 \frac{7}{8}+\left(3 \frac{1}{8}+1 \frac{1}{8}\right)$$
_______ $$\frac{□}{□}$$

Question 8.
$$14 \frac{1}{10}+\left(20 \frac{2}{10}+15 \frac{7}{10}\right)$$
_______ $$\frac{□}{□}$$

Question 9.
$$\left(13 \frac{2}{12}+8 \frac{7}{12}\right)+9 \frac{5}{12}$$
_______ $$\frac{□}{□}$$

Problem Solving

Question 10.
Nate’s classroom has three tables of different lengths. One has a length of 4 $$\frac{1}{2}$$ feet, another has a length of 4 feet, and a third has a length of 2 $$\frac{1}{2}$$ feet. What is the length of all three tables when pushed end to end?
_______ $$\frac{□}{□}$$

Question 11.
Mr. Warren uses 2 $$\frac{1}{4}$$ bags of mulch for his garden and another 4 $$\frac{1}{4}$$ bags for his front yard. He also uses $$\frac{3}{4}$$ bag around a fountain. How many total bags of mulch does Mr. Warren use?
_______ $$\frac{□}{□}$$

### Fractions and Properties of Addition – Lesson Check – Page No. 440

Question 1.
A carpenter cut a board into three pieces. One piece was 2 $$\frac{5}{6}$$ feet long. The second piece was 3 $$\frac{1}{6}$$ feet long. The third piece was 1 $$\frac{5}{6}$$ feet long. How long was the board?
Options:
a. 6 $$\frac{5}{6}$$ feet
b. 7 $$\frac{1}{6}$$ feet
c. 7 $$\frac{5}{6}$$ feet
d. 8 $$\frac{1}{6}$$ feet

Question 2.
Harry works at an apple orchard. He picked 45 $$\frac{7}{8}$$ pounds of apples on Monday. He picked 42 $$\frac{3}{8}$$ pounds of apples on Wednesday. He picked 54 $$\frac{1}{8}$$ pounds of apples on Friday. How many pounds of apples did Harry pick those three days?
Options:
a. 132 $$\frac{3}{8}$$ pounds
b. 141 $$\frac{3}{8}$$ pounds
c. 142 $$\frac{1}{8}$$ pounds
d. 142 $$\frac{3}{8}$$ pounds

Spiral Review

Question 3.
There were 6 oranges in the refrigerator. Joey and his friends ate 3 $$\frac{2}{3}$$ oranges. How many oranges were left?
Options:
a. 2 $$\frac{1}{3}$$ oranges
b. 2 $$\frac{2}{3}$$ oranges
c. 3 $$\frac{1}{3}$$ oranges
d. 9 $$\frac{2}{3}$$ oranges

Question 4.
Darlene was asked to identify which of the following numbers is prime. Which number should she choose?
Options:
a. 2
b. 12
c. 21
d. 39

Question 5.
A teacher has 100 chairs to arrange for an assembly. Which of the following is NOT a way the teacher could arrange the chairs?
Options:
a. 10 rows of 10 chairs
b. 8 rows of 15 chairs
c. 5 rows of 20 chairs
d. 4 rows of 25 chairs

Question 6.
Nic bought 28 folding chairs for $16 each. How much money did Nic spend on chairs? Options: a.$196
b. $348 c.$448
d. $600 ### Fractions and Properties of Addition – Lesson Check – Page No. 443 Question 1. Last week, Sia ran 1 $$\frac{1}{4}$$ miles each day for 5 days and then took 2 days off. Did she run at least 6 miles last week? First, model the problem. Describe your model. Type below: _________ Question 1. Then, regroup the parts in the model to find the number of whole miles Sia ran. Sia ran ___________ whole miles and ___________ mile. Finally, compare the total number of miles she ran to 6 miles. So, Sia ___________ run at least 6 miles last week. 6 $$\frac{1}{4}$$ miles _____ 6 miles Question 2. What if Sia ran only $$\frac{3}{4}$$ mile each day. Would she have run at least 6 miles last week? Explain. _____ Question 3. A quarter is $$\frac{1}{4}$$ dollar. Noah has 20 quarters. How much money does he have? Explain.$ _____

Question 4.
How many $$\frac{2}{5}$$ parts are in 2 wholes?
_____

### Fractions and Properties of Addition – Lesson Check – Page No. 444

Question 5.
A company shipped 15,325 boxes of apples and 12,980 boxes of oranges. How many more boxes of apples than oranges did the company ship?
_____ boxes

Question 6.
Analyze A fair sold a total of 3,300 tickets on Friday and Saturday. It sold 100 more on Friday than on Saturday. How many tickets did the fair sell on Friday?
_____ tickets

Question 7.
Emma walked $$\frac{1}{4}$$ mile on Monday, $$\frac{2}{4}$$ mile on Tuesday, and $$\frac{3}{4}$$ mile on Wednesday. If the pattern continues, how many miles will she walk on Friday? Explain how you found the number of miles.
$$\frac{□}{□}$$ miles

Question 8.
Jared painted a mug $$\frac{5}{12}$$ red and $$\frac{4}{12}$$ blue. What part of the mug is not red or blue?
$$\frac{□}{□}$$

Question 9.
Choose the number that correctly completes the sentence.
Each day, Mrs. Hewes knits $$\frac{1}{3}$$ of a scarf in the morning and $$\frac{1}{3}$$ of a scarf in the afternoon.
It will take Mrs. Hewes days to knit 2 scarves.
_____

### Fractions and Properties of Addition – Page No. 445

Question 1.
Each child in the Smith family was given an orange cut into 8 equal sections. Each child ate $$\frac{5}{8}$$ of the orange. After combining the leftover sections, Mrs. Smith noted that there were exactly 3 full oranges left. How many children are in the Smith family?

Question 2.
Val walks 2 $$\frac{3}{5}$$ miles each day. Bill runs 10 miles once every 4 days. In 4 days, who covers the greater distance?
_________

Question 3.
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold $$\frac{5}{6}$$ pound of peanuts. How many 2-pound bags of peanuts should Chad buy so that he can fill the $$\frac{5}{6}$$ -pound bags without having any peanuts left over?
_________ 2-pound bags

Question 4.
A carpenter has several boards of equal length. He cuts $$\frac{3}{5}$$ of each board. After cutting the boards, the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original boards. How many boards did the carpenter start with?
_________

### Fractions and Properties of Addition – Lesson Check – Page No. 446

Question 1.
Karyn cuts a length of ribbon into 4 equal pieces, each 1 $$\frac{1}{4}$$ feet long. How long was the ribbon?
Options:
a. 4 feet
b. 4 $$\frac{1}{4}$$ feet
c. 5 feet
d. 5 $$\frac{1}{4}$$ feet

Question 2.
Several friends each had $$\frac{2}{5}$$ of a bag of peanuts left over from the baseball game. They realized that they could have bought 2 fewer bags of peanuts between them. How many friends went to the game?
Options:
a. 6
b. 5
c. 4
d. 2

Spiral Review

Question 3.
A frog made three jumps. The first was 12 $$\frac{5}{6}$$ inches. The second jump was 8 $$\frac{3}{6}$$ inches. The third jump was 15 $$\frac{1}{6}$$ inches. What was the total distance the frog jumped?
Options:
a. 35 $$\frac{3}{6}$$ inches
b. 36 $$\frac{1}{6}$$ inches
c. 36 $$\frac{3}{6}$$ inches
d. 38 $$\frac{1}{6}$$ inches

Question 4.
LaDanian wants to write the fraction $$\frac{4}{6}$$ as a sum of unit fractions. Which expression should he write?
Options:
a. $$\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$$
b. $$\frac{2}{6}+\frac{2}{6}$$
c. $$\frac{3}{6}+\frac{1}{6}$$
d. $$\frac{1}{6}+\frac{1}{6}+\frac{2}{6}$$

Question 5.
Greta made a design with squares. She colored 8 out of the 12 squares blue. What fraction of the squares did she color blue?
Options:
a. $$\frac{1}{4}$$
b. $$\frac{1}{3}$$
c. $$\frac{2}{3}$$
d. $$\frac{3}{4}$$

Question 6.
The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number. The first student says 5. Victor is tenth in line. What number should Victor say?
Options:
a. 17
b. 19
c. 20
d. 21

### Fractions and Properties of Addition – Page No. 447

Question 1.
A painter mixed $$\frac{1}{4}$$ quart of red paint with $$\frac{3}{4}$$ blue paint to make purple paint.

How much purple paint did the painter make?
_____ quart of purple paint

Question 2.
Ivan biked 1 $$\frac{2}{3}$$ hours on Monday, 2 $$\frac{1}{3}$$ hours on Tuesday, and 2 $$\frac{2}{3}$$ hours on Wednesday. What is the total number of hours Ivan spent biking?
Ivan spen _______ hours biking.
_____ $$\frac{□}{□}$$

Question 3.
Tricia had 4 $$\frac{1}{8}$$ yards of fabric to make curtains. When she finished she had 2 $$\frac{3}{8}$$ yards of fabric left. She said she used 2 $$\frac{2}{8}$$ yards of fabric for the curtains. Do you agree? Explain.
______

### Fractions and Properties of Addition – Page No. 448

Question 4.
Miguel’s class went to the state fair. The fairground is divided into sections. Rides are in $$\frac{6}{10}$$ of the fairground. Games are in $$\frac{2}{10}$$ of the fairground. Farm exhibits are in $$\frac{1}{10}$$ of the fairground.
Part A
Use the model. What fraction of the fairground is rides and games?

The fraction of the fairground with games and rides is ______ .
$$\frac{□}{□}$$

Question 4.
Part B
How much greater is the part of the fairground with rides than with farm exhibits? Explain how the model could be used to find the answer.
$$\frac{□}{□}$$

Question 5.
Rita is making chili. The recipe calls for 2 $$\frac{3}{4}$$ cups of tomatoes. How many cups of tomatoes, written as a fraction greater than one, are used in the recipe?
_____ cups

Question 6.
Lamar’s mom sells sports equipment online. She sold $$\frac{9}{10}$$ of the sports equipment. Select a way $$\frac{9}{10}$$ can be written as a sum of fractions. Mark all that apply.
Options:
a. $$\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{2}{10}$$
b. $$\frac{3}{10}+\frac{2}{10}+\frac{3}{10}+\frac{1}{10}$$
c. $$\frac{2}{10}+\frac{2}{10}+\frac{2}{10}+\frac{2}{10}$$
d. $$\frac{4}{10}+\frac{1}{10}+\frac{1}{10}+\frac{3}{10}$$
e. $$\frac{4}{10}+\frac{3}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$$
f. $$\frac{2}{10}+\frac{2}{10}+\frac{2}{10}+\frac{3}{10}$$

### Fractions and Properties of Addition – Page No. 449

Question 7.
Bella brought $$\frac{8}{10}$$ gallon of water on a hiking trip. She drank $$\frac{6}{10}$$ gallon of water. How much water is left?
$$\frac{□}{□}$$ gallons

Question 8.
In a survey, $$\frac{6}{10}$$ of the students chose Saturday and $$\frac{1}{10}$$ chose Monday as their favorite day of the week. What fraction shows the students who chose Saturday or Monday as their favorite day?
Part A

$$\frac{□}{□}$$

Question 8.
Part B
How are the numerator and denominator of your answer related to the model? Explain.
Type below:
___________

Question 9.
Match the equation with the property used.

Type below:
__________________

### Fractions and Properties of Addition – Page No. 450

Question 10.
For numbers 10a–10e, select Yes or No to show if the sum or difference is correct.
(a) $$\frac{2}{8}+\frac{1}{8}=\frac{3}{8}$$
i. yes
ii. no

Question 10.
(b) $$\frac{4}{5}+\frac{1}{5}=\frac{5}{5}$$
i. yes
ii. no

Question 10.
(c) $$\frac{4}{6}+\frac{1}{6}=\frac{5}{12}$$
i. yes
ii. no

Question 10.
(d) $$\frac{6}{12}-\frac{4}{12}=\frac{2}{12}$$
i. yes
ii. no

Question 10.
(e) $$\frac{7}{9}-\frac{2}{9}=\frac{9}{9}$$
i. yes
ii. no

Question 11.
Gina has 5 $$\frac{2}{6}$$ feet of silver ribbon and 2 $$\frac{4}{6}$$ of gold ribbon. How much more silver ribbon does Gina have than gold ribbon?
______ $$\frac{□}{□}$$ feet more silver ribbon

Question 12.
Jill is making a long cape. She needs 4 $$\frac{1}{3}$$ yards of blue fabric for the outside of the cape. She needs 3 $$\frac{2}{3}$$ yards of purple fabric for the lining of the cape.
Part A
Jill incorrectly subtracted the two mixed numbers to find how much more blue fabric than purple fabric she should buy. Her work is shown below.
$$4 \frac{1}{3}-3 \frac{2}{3}=\frac{12}{3}-\frac{9}{3}=\frac{3}{3}$$
Why is Jill’s work incorrect?
Type below:
__________________

Question 12.
Part B
How much more blue fabric than purple fabric should Jill buy? Show your work.
$$\frac{□}{□}$$

### Fractions and Properties of Addition – Page No. 451

Question 13.
Russ has two jars of glue. One jar is $$\frac{1}{5}$$ full. The other jar is $$\frac{2}{5}$$ full.

Use the fractions to write an equation to find the amount of glue Russ has.

Type below:
_________________

Question 14.
Gertie ran $$\frac{3}{4}$$ mile during physical education class. Sarah ran $$\frac{2}{4}$$ mile during the same class. How much farther did Gertie run than Sarah? Shade the model to show your answer.

$$\frac{□}{□}$$

Question 15.
Teresa planted marigolds in $$\frac{2}{8}$$ of her garden and petunias in $$\frac{3}{8}$$ of her garden. What fraction of the garden has marigolds and petunias?
$$\frac{□}{□}$$

Question 16.
Draw a line to show the mixed number and fraction that have the same value.

Question 17.
Each day, Tally’s baby sister eats $$\frac{1}{4}$$ cup of rice cereal in the morning and $$\frac{1}{4}$$ cup of rice cereal in the afternoon. It will take Tally’s sister days to eat 2 cups of rice cereal.
Type below:
_________________

### Fractions and Properties of Addition – Page No. 452

Question 18.
Three girls are selling cases of popcorn to earn money for a band trip. In week 1, Emily sold 2 $$\frac{3}{4}$$ cases, Brenda sold 4 $$\frac{1}{4}$$ cases, and Shannon sold 3 $$\frac{1}{2}$$ cases.
Part A
How many cases of popcorn have the girls sold in all? Explain how you found your answer.
______ $$\frac{□}{□}$$

Question 18.
Part B
The girls must sell a total of 35 cases in order to have enough money for the trip. Suppose they sell the same amount in week 2 and week 3 of the sale as in week 1. Will the girls have sold enough cases of popcorn to go on the trip? Explain.
______

Question 19.
Henry ate $$\frac{3}{8}$$ of a sandwich. Keith ate $$\frac{4}{8}$$ of the same sandwich. How much more of the sandwich did Keith eat than Henry?
$$\frac{□}{□}$$ of the sandwich

Question 20.
For numbers 20a–20d, choose True or False for each sentence.
a. $$1 \frac{4}{9}+2 \frac{6}{9}$$ is equal to 4 $$\frac{1}{9}$$
i. True
ii. False

Question 20.
b. $$3 \frac{5}{6}+2 \frac{3}{6}$$ is equal to 5 $$\frac{2}{6}$$
i. True
ii. False

Question 20.
c. $$4 \frac{5}{8}-2 \frac{4}{8}$$ is equal to 2 $$\frac{3}{8}$$
i. True
ii. False

Question 20.
d. $$5 \frac{5}{8}-3 \frac{2}{8}$$ is equal to 2 $$\frac{3}{8}$$
i. True
ii. False

Question 21.
Justin lives 4 $$\frac{3}{5}$$ miles from his grandfather’s house. Write the mixed number as a fraction greater than one.
4 $$\frac{3}{5}$$ = $$\frac{□}{□}$$

### Fractions and Properties of Addition – Page No. 457

Question 1.
Use the picture to complete the equations.

$$\frac{3}{4}$$ = _ + _ + _
$$\frac{3}{4}$$ = _ × $$\frac{1}{4}$$
Type below:
___________

Write the fraction as a product of a whole number and a unit fraction.

Question 2.
$$\frac{4}{5}$$ = ______ × $$\frac{1}{5}$$

Question 3.
$$\frac{3}{10}$$ = ______ × $$\frac{1}{10}$$

Question 4.
$$\frac{8}{3}$$ = ______ × $$\frac{1}{3}$$

List the next four multiples of the unit fraction.

Question 5.
$$\frac{1}{6}$$ ,
Type below:
___________

Question 6.
$$\frac{1}{3}$$ ,
Type below:
___________

Write the fraction as a product of a whole number and a unit fraction.

Question 7.
$$\frac{5}{6}$$ = ______ × $$\frac{1}{6}$$

Question 8.
$$\frac{9}{4}$$ = ______ × $$\frac{1}{4}$$

Question 9.
$$\frac{3}{100}$$ = ______ × $$\frac{1}{100}$$

List the next four multiples of the unit fraction.

Question 10.
$$\frac{1}{10}$$ ,
Type below:
___________

Question 11.
$$\frac{1}{8}$$ ,
Type below:
___________

Question 12.
Robyn uses $$\frac{1}{2}$$ cup of blueberries to make each loaf of blueberry bread. Explain how many loaves of blueberry bread she can make with 2 $$\frac{1}{2}$$ cups of blueberries.

Question 13.
Nigel cut a loaf of bread into 12 equal slices. His family ate some of the bread and now $$\frac{5}{12}$$ of the loaf is left. Nigel wants to put each of the leftover slices in its own bag. How many bags does Nigel need?
_____ bags

Question 14.
Which fraction is a multiple of $$\frac{1}{5}$$? Mark all that apply.
Options:
a. $$\frac{4}{5}$$
b. $$\frac{5}{7}$$
c. $$\frac{5}{9}$$
d. $$\frac{3}{5}$$

### Fractions and Properties of Addition – Page No. 458

Sense or Nonsense?

Question 15.
Whose statement makes sense? Whose statement is nonsense? Explain your reasoning.

Type below:
_________________

Question 15.
For the statement that is nonsense, write a new statement that makes sense.
Type below:
_________________