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Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 2 Subtracting Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 2 Subtracting Fractions

Subtract

Write your answers in simplest form.

Question 1.
\(\frac{3}{4}\) – \(\frac{2}{4}\) = ____________
Answer:
The Denominators of the given fractions are same so subtract the numerators.
3/4 – 2/4
= 3-2/4
= 1/4

Question 2.
\(\frac{3}{5}\) – \(\frac{1}{5}\) = _____________
Answer:
The Denominators of the given fractions are same so Subtract the numerators.
3/5 – 1/5
= 3-1/5
= 2/5

Question 3.
\(\frac{5}{6}\) – \(\frac{3}{6}\) = _____________
Answer:
The Denominators of the given fractions are same so subtract the numerators.
5/6 – 3/6
= 5-3/6
= 2/6
= 1/3

Question 4.
\(\frac{5}{8}\) – \(\frac{1}{8}\) = ______________
Answer:
The Denominators of the given fractions are same so subtract the numerators.
5/8 – 1/8
= 5-1/8
= 4/8
= 1/2

Question 5.
\(\frac{8}{10}\) – \(\frac{5}{10}\) = ______________
Answer:
The Denominators of the given fractions are same so add the numerators.
8/10 – 5/10
= 8-5/10
= 3/10

Question 6.
\(\frac{2}{3}\) – \(\frac{1}{3}\) = _______________
Answer:
The Denominators of the given fractions are same so add the numerators.
2/3 – 1/3
= 2-1/3
= 1/3

Question 7.
Joel wants to solve 1 – \(\frac{3}{8}\). Explain how he can subtract.
Answer:
Given that,
1 – 3/8
= 8-3/8
= 5/8.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 11 Problem Solving: Multiplying Whole Numbers by Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 11 Problem Solving: Multiplying Whole Numbers by Fractions

Solve

Write equations. Draw pictures if you need help.

Question 1.
Vicky has 20 markers. She gives her friend \(\frac{3}{4}\) of them. How many markers does Vicky give to her friend?
Answer:
Given,
Vicky has 20 markers. She gives her friend \(\frac{3}{4}\) of them.
20 × \(\frac{3}{4}\) = 5 × 3 = 15 markers
Thus Vicky give 15 markers to her friend.

Question 2.
36 students sign up for band class, \(\frac{1}{3}\) of them want to play the saxophone. How many students want to play the saxophone?
Answer:
Given,
36 students sign up for band class, \(\frac{1}{3}\) of them want to play the saxophone.
36 × \(\frac{1}{3}\) = 12
Therefore 12 students want to play the saxophone.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 10 Multiplying Fractions by Whole Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 10 Multiplying Fractions by Whole Numbers

Multiply

Write your answers in simplest form.

Question 1.
4 × \(\frac{2}{3}\) = _____________
Answer:
4 × \(\frac{2}{3}\) = \(\frac{8}{3}\) = 2\(\frac{2}{3}\)

Question 2.
3 × \(\frac{2}{5}\) = ______________
Answer:
3 × \(\frac{2}{5}\) = \(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Question 3.
5 × \(\frac{2}{8}\) = ______________
Answer:
5 × \(\frac{2}{8}\) = \(\frac{5×2}{8}\) = \(\frac{10}{8}\) = 1 \(\frac{2}{8}\)

Question 4.
3 × \(\frac{3}{7}\) = ______________
Answer:
3 × \(\frac{3}{7}\) = \(\frac{3×3}{7}\) = \(\frac{9}{7}\) = 1\(\frac{2}{7}\)

Question 5.
7 × \(\frac{2}{8}\) = ______________
Answer:
7 × \(\frac{2}{8}\) = \(\frac{7×2}{8}\) = \(\frac{14}{8}\) = \(\frac{7}{4}\) = 1\(\frac{3}{4}\)

Question 6.
9 × \(\frac{1}{5}\) = ______________
Answer:
9 × \(\frac{1}{5}\) = \(\frac{9×1}{5}\) = \(\frac{9}{5}\) = 1\(\frac{4}{5}\)

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 8 Lesson 1 Adding Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 8 Lesson 1 Adding Fractions

Add

Write your answers in simplest form.

Question 1.
\(\frac{2}{5}\) + \(\frac{2}{5}\) = _____________
Answer:
The denominator of the given fractions are the same. So we have to add the numerators.
\(\frac{2}{5}\) + \(\frac{2}{5}\) = \(\frac{4}{5}\)

Question 2.
\(\frac{1}{3}\) + \(\frac{1}{3}\) = _____________
Answer:
The denominator of the given fractions are the same. So we have to add the numerators.
\(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)

Question 3.
\(\frac{2}{8}\) + \(\frac{4}{8}\) = ______________
Answer:
The denominator of the given fractions are the same. So we have to add the numerators.
\(\frac{2}{8}\) + \(\frac{4}{8}\) = \(\frac{2+4}{8}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)
\(\frac{2}{8}\) + \(\frac{4}{8}\) = \(\frac{3}{4}\)

Question 4.
Jeremy and Rosa are solving a math problem. They add \(\frac{1}{3}\) + \(\frac{2}{3}\). Jeremy says the answer is \(\frac{3}{3}\). Rosa says the answer is 1. Who is correct? Why?
Answer:
Given
\(\frac{1}{3}\) + \(\frac{2}{3}\)
The denominator of the given fractions are the same. So we have to add the numerators.
\(\frac{1}{3}\) + \(\frac{2}{3}\) = \(\frac{1+2}{3}\) = \(\frac{3}{3}\) = 1
So, Rosa is correct.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Test to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Chapter 7 Test Answer Key

Write a fraction to describe the part of each whole or set that is green.

Question 1.

Answer:
\(\frac{2}{5}\)
Explanation:
There are 5 circles out of it 2 are colored
2 out of 5 are colored.

Question 2.

Answer:
\(\frac{1}{4}\)
Explanation:
There are 4 boxes out of them 1 is colored
1 out of 4 is colored

Find an equivalent fraction for each.

Question 3.
\(\frac{1}{4}\) = ____
Answer:
\(\frac{1}{4}\) = \(\frac{2}{8}\)
Explanation:
The equivalent fraction of \(\frac{2}{8}\)  is \(\frac{1}{4}\)
2 x 1 = 2
2 x 4 = 8
Multiplying numerator and denominator by 2

Question 4.
\(\frac{5}{6}\) = ____
Answer:
\(\frac{5}{6}\) = \(\frac{10}{12}\)
Explanation:
The equivalent fraction of \(\frac{5}{6}\) is \(\frac{10}{12}\)
5 x 2 = 10
6 x 2 = 12
Multiplying numerator and denominator by 2

Question 5.
\(\frac{16}{24}\) = ____
Answer:
\(\frac{16}{24}\) = \(\frac{2}{3}\)
Explanation:
The equivalent fraction of \(\frac{16}{24}\) is \(\frac{2}{3}\)
Dividing the numerator and denominator by 8
8 x 2 = 16
8 x 3 = 24

Question 6.
\(\frac{10}{20}\) = ____
Answer:
\(\frac{10}{20}\) = \(\frac{1}{2}\)
Explanation:
The equivalent fraction of \(\frac{10}{20}\) is \(\frac{10}{20}\)
Dividing the numerator and denominator by 10
10 x 1 = 10
10 x 2 = 20

Compare each pair of fractions. Write <,>, or =.

Question 7.
\(\frac{1}{4}\) \(\frac{2}{3}\)
Answer:
\(\frac{1}{4}\) \(\frac{2}{3}\)
Explanation:
\(\frac{1}{4}\) is lesser than the \(\frac{2}{3}\)
so, represented with lesser than symbol

Question 8.
\(\frac{4}{8}\) \(\frac{1}{2}\)
Answer:
\(\frac{4}{8}\) \(\frac{1}{2}\)
Explanation:
\(\frac{4}{8}\) is equal to \(\frac{1}{2}\)
so, represented with equal symbol

Question 9.
\(\frac{2}{5}\) \(\frac{1}{3}\)
Answer:
\(\frac{2}{5}\)  \(\frac{1}{3}\)
Explanation:
\(\frac{2}{5}\) is greater than  \(\frac{1}{3}\)
so, represented with greater than symbol.

Question 10.
\(\frac{3}{4}\) \(\frac{7}{8}\)
Answer:
\(\frac{3}{4}\)  \(\frac{7}{8}\)
Explanation:
\(\frac{3}{4}\) is lesser than the \(\frac{7}{8}\)
so, represented with lesser than symbol

Solve.

Question 11.
Henry paints a square piece of wood as shown. He says he painted \(\frac{3}{4}\) of the board yellow. Is he correct? Why or why not?

Answer:
Yes, he is correct
Explanation:
The square is divided into 4 parts equally
he colored 3 parts as yellow
so, he painted \(\frac{3}{4}\) of the board yellow

Question 12.
Draw a picture that correctly shows \(\frac{1}{3}\) < \(\frac{1}{2}\).
Answer:

Explanation:
According to the pictures
if we shade one third the shaded part is lesser than the
one halves of the shaded parts

Question 13.
Natalie buys 25 buttons. \(\frac{1}{5}\) of them are brown. \(\frac{2}{5}\) of them are black. \(\frac{2}{5}\) of them are gray. How many black buttons are in the bag?
_______ black buttons
Answer:
10 black buttons
Explanation:
=25(\(\frac{2}{5}\))
= (\(\frac{25}{1}\))(\(\frac{2}{5}\))
= (\(\frac{50}{5}\))
=10

Question 14.
There are 24 cans of soup on a shelf. chicken soup. \(\frac{1}{4}\) are beef soup. \(\frac{1}{4}\) are tomato soup. How many cans of tomato soup are there?
_______ cans
Answer:
6 cans of tomato soup
Explanation:
=24(\(\frac{1}{4}\))
= (\(\frac{24}{1}\))(\(\frac{1}{4}\))
= (\(\frac{24}{4}\))
=6

Use the fraction strips to identify equivalent fractions.

Question 15.
Place a check mark next to the fraction that is equivalent to \(\frac{2}{10}\).
____ \(\frac{1}{5}\) ____ \(\frac{3}{10}\) ____ \(\frac{1}{4}\)
Answer:
\(\frac{1}{5}\)
Explanation:
When the numerator and denominator are divided by 2
2 x 1 = 2
2 x 5 = 10
\(\frac{2}{10}\) equivalent fraction is \(\frac{1}{5}\)

Question 16.
Place a check mark next to the fraction that is equivalent to \(\frac{1}{3}\).
____ \(\frac{4}{8}\) ____ \(\frac{1}{2}\) ____ \(\frac{2}{6}\)
Answer:
\(\frac{2}{6}\)
Explanation:
When the numerator and denominator are multiplied by 2
1 x 2 = 2
3 x 2 = 6
\(\frac{1}{3}\) equivalent fraction is \(\frac{2}{6}\)

Question 17.
Place a check mark next to the fraction that is equivalent to \(\frac{6}{8}\).
____ \(\frac{9}{10}\) ____ \(\frac{3}{4}\) ____ \(\frac{4}{5}\)
Answer:
\(\frac{3}{4}\)
Explanation:
When the numerator and denominator are divided by 2
\(\frac{6}{8}\) is equivalent to \(\frac{3}{4}\)
3 x 2 = 6
4 x 2 = 8

Question 18.
Place a check mark next to the fraction that is equivalent to \(\frac{1}{2}\).
____ \(\frac{2}{3}\) ____ \(\frac{3}{8}\) ____ \(\frac{3}{6}\)
Answer:
\(\frac{3}{6}\)
Explanation:
the numerator and denominator are multiplied by 3
\(\frac{1}{2}\) is equivalent to \(\frac{3}{6}\)
1 x 3 = 3
2 x 3 = 6

Compare each pair of fractions. Write <, >, or . Use the fraction strips and \(\frac{1}{2}\) or \(\frac{1}{4}\) as benchmarks.

Question 19.
\(\frac{2}{3}\) \(\frac{4}{8}\)
Answer:
\(\frac{2}{3}\)  \(\frac{4}{8}\)
Explanation:
\(\frac{2}{3}\) is greater than \(\frac{4}{8}\)
represented with greater than symbol

Question 20.
\(\frac{4}{5}\) \(\frac{3}{4}\)
Answer:
\(\frac{4}{5}\)  \(\frac{3}{4}\)
Explanation:
\(\frac{4}{5}\) is greater than \(\frac{3}{4}\)
represented with greater than symbol

Question 21.
\(\frac{1}{5}\) \(\frac{2}{10}\)
Answer:
\(\frac{1}{5}\)  \(\frac{2}{10}\)
Explanation:
Numerator and denominator are divided by 2
2 x 1 = 2
2 x 5 = 10
so, both the fractions are equal.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 7 Problem Solving: Using Objects to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 7 Lesson 7 Problem Solving: Using Objects

Solve

Question 1.
Mr. Wagner buys 18 pieces of fruit. \(\frac{1}{3}\) of the fruit are apples. \(\frac{2}{3}\) of the fruit are bananas. How many bananas are there?
Answer
12 bananas
Explanation:
= 18(\(\frac{2}{3}\))
= (\(\frac{18}{1}\))(\(\frac{2}{3}\))
= \(\frac{36}{3}\)
=12

Question 2.
Sandi has 12 books. \(\frac{2}{4}\) of them are fiction. \(\frac{1}{4}\) of them are history books. \(\frac{1}{4}\) of them are books about planes. How many history books does she have?
_______ history books
Answer:
3 history books
Explanation:
= 12(\(\frac{1}{4}\))
= (\(\frac{12}{1}\))(\(\frac{1}{4}\))
= \(\frac{12}{4}\)
=3

Question 3.
Hannah has 24 muffins. \(\frac{1}{3}\) are corn muffins. \(\frac{1}{3}\) are bran muffins. \(\frac{1}{3}\) are blueberry muffins. How many corn muffins does she have?
_______ corn muffins
Answer:
8 corn muffins
Explanation:
= 24(\(\frac{1}{3}\))
= (\(\frac{24}{1}\))(\(\frac{1}{3}\))
= \(\frac{24}{3}\)
=8

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 6 Identifying Valid Comparisons to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 7 Lesson 6 Identifying Valid Comparisons

Solve

Question 1.
Jill paints a board as shown.

She says she painted \(\frac{1}{4}\) of the board yellow. Is she correct? Why or why not?
Answer:
She is not correct.
Explanation:
\(\frac{1}{4}\) means the whole has been divided into 4 equal parts.
The board shows 4 parts, but they are not equal parts.

Question 2.
Draw a picture that correctly shows \(\frac{3}{4}\) > \(\frac{1}{4}\)
Answer:

Explanation:
A square is divided into 4 equal parts
3 parts shaded is greater than one part
as shown in the figure.

Question 3.
\(\frac{2}{4}\) and \(\frac{4}{8}\) are equivalent fractions. Explain why the amounts might not be equal.
Answer:
equal as fractions.
Explanation:
They are equal in fractions
They might not be equal when if there fractions showing different sized wholes.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 5 Using Benchmarks to Compare Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 7 Lesson 5 Using Benchmarks to Compare Fractions

Compare

Compare each pair of fractions. Write <, >, or =. Use \(\frac{1}{2}\) or \(\frac{1}{4}\) as benchmarks.

Question 1.
\(\frac{1}{3}\) < \(\frac{3}{4}\)
Answer:
\(\frac{1}{3}\) < \(\frac{3}{4}\)
Explanation:
\(\frac{1}{3}\) < \(\frac{1}{2}\)
\(\frac{3}{4}\) > \(\frac{1}{2}\)
so,
\(\frac{1}{3}\) < \(\frac{3}{4}\)

Question 2.
\(\frac{2}{5}\) ____ \(\frac{3}{8}\)
Answer:
\(\frac{2}{5}\) > \(\frac{3}{8}\)
Explanation:

\(\frac{2}{5}\) > \(\frac{1}{4}\)
\(\frac{3}{8}\) > \(\frac{1}{4}\)
According to the chart \(\frac{2}{5}\) is greater than \(\frac{3}{8}\)

Question 3.
\(\frac{2}{4}\) ____ \(\frac{2}{6}\)
Answer:
\(\frac{2}{4}\) > \(\frac{2}{6}\)
Explanation:

According to the chart \(\frac{2}{4}\) is greater than \(\frac{2}{6}\)

Question 4.
\(\frac{2}{3}\) ____ \(\frac{3}{6}\)
Answer:
\(\frac{2}{3}\) > \(\frac{3}{6}\)
Explanation:

\(\frac{2}{3}\) is greater than \(\frac{3}{6}\) according to the chart.

Question 5.
\(\frac{1}{3}\) ____ \(\frac{2}{6}\)
Answer:
\(\frac{1}{3}\) = \(\frac{2}{6}\)
Explanation:

\(\frac{1}{3}\) is equal to \(\frac{2}{6}\) according to the chart.

Question 6.
\(\frac{4}{8}\) ____ \(\frac{5}{8}\)
Answer:
\(\frac{4}{8}\) ____ \(\frac{5}{8}\)
Explanation:

\(\frac{4}{8}\) is lesser than \(\frac{5}{8}\)
according to the chart.

Question 7.
A school flag is \(\frac{3}{8}\) gold and \(\frac{1}{5}\) brown. Is more of the flag colored gold or brown?
Answer:
brown color is more on flag.
Explanation:

According to the chart
\(\frac{3}{8}\) is greater than \(\frac{1}{5}\)

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 4 Comparing Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 7 Lesson 4 Comparing Fractions

Compare

Compare each pair of fractions. Write <, >, or

Question 1.
\(\frac{2}{5}\) > \(\frac{1}{10}\)
Answer:
\(\frac{2}{5}\) > \(\frac{1}{10}\)
Explanation:
\(\frac{2}{5}\) is greater than \(\frac{1}{10}\)
represented with greater than symbol.

Question 2.
\(\frac{1}{3}\) _____ \(\frac{3}{6}\)
Answer:
\(\frac{1}{3}\) < \(\frac{3}{6}\)
Explanation:
\(\frac{1}{3}\) is lesser than \(\frac{3}{6}\)
represented with lesser than symbol.

Question 3.
\(\frac{2}{4}\) _____ \(\frac{1}{2}\)
Answer:
\(\frac{2}{4}\) = \(\frac{1}{2}\)
Explanation:
\(\frac{2}{4}\) is equal to \(\frac{1}{2}\)
represented with equal symbol
dividing the numerator and denominator by 2
1 x 2 = 2
2 x 2 = 4

Question 4.
\(\frac{6}{12}\) _____ \(\frac{3}{3}\)
Answer:
\(\frac{6}{12}\) < \(\frac{3}{3}\)
Explanation:
\(\frac{6}{12}\) is lesser than \(\frac{3}{3}\)
represented with lesser than symbol.

Question 5.
\(\frac{4}{6}\) _____ \(\frac{2}{3}\)
Answer:
\(\frac{4}{6}\) = \(\frac{2}{3}\)
Explanation:
\(\frac{4}{6}\) is equal to \(\frac{2}{3}\)
represented with equal symbol
dividing the numerator and denominator by 2
2 x 2 = 4
2 x 3 = 6

Question 6.
\(\frac{2}{3}\) _____ \(\frac{5}{6}\)
Answer:
\(\frac{2}{3}\) < \(\frac{5}{6}\)
Explanation:
\(\frac{2}{3}\) is lesser than \(\frac{5}{6}\)
represented with lesser than symbol.

Question 7.
\(\frac{4}{9}\) _____ \(\frac{1}{3}\)
Answer:
\(\frac{4}{9}\) > \(\frac{1}{3}\)
Explanation:
\(\frac{4}{9}\) is greater than \(\frac{1}{3}\)
represented with greater than symbol.

Question 8.
\(\frac{3}{5}\) _____ \(\frac{4}{15}\)
Answer:
\(\frac{3}{5}\) > \(\frac{4}{15}\)
Explanation:
\(\frac{3}{5}\) is greater than \(\frac{4}{15}\)
represented with greater than symbol.

Question 9.
\(\frac{1}{2}\) _____ \(\frac{7}{8}\)
Answer:
\(\frac{1}{2}\) < \(\frac{7}{8}\)
Explanation:
\(\frac{1}{2}\) is lesser than \(\frac{7}{8}\)
represented with lesser than symbol.

Question 10.
Alexis drew the picture on the right to show that \(\frac{3}{4}\) is less than \(\frac{4}{8}\). What was her mistake?

Answer:
She has to compare on the same shape.
Explanation:
Alexis drew on different sized papers
so, that was her mistake.

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 7 Lesson 3 Finding Equivalent Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 7 Lesson 3 Finding Equivalent Fractions

Multiply or Divide

Multiply or divide to find equivalent fractions.

Question 1.

Answer:
multiplying numerator and denominator by 5
\(\frac{2}{3}\) is equivalent to \(\frac{10}{15}\)

Question 2.

Answer:

Explanation:
dividing numerator and denominator by 3
\(\frac{6}{12}\) is equivalent to \(\frac{2}{4}\)

Question 3.

Answer:

Explanation:
dividing numerator and denominator by 2
\(\frac{8}{12}\) is equivalent to \(\frac{4}{6}\)

Question 4.

Answer:

Explanation:
multiplying numerator and denominator by 6
\(\frac{3}{4}\) is equivalent to \(\frac{18}{24}\)

Find an equivalent fraction for each.

Question 5.
\(\frac{3}{4}\) = ____
Answer:
\(\frac{3}{4}\) = \(\frac{9}{12}\)
Explanation:
multiplying numerator and denominator by 3

Question 6.
\(\frac{1}{3}\) = ____
Answer:
\(\frac{1}{3}\) = \(\frac{2}{6}\)
Explanation:
multiplying numerator and denominator by 2

Question 7.
There are 30 students in a classroom. \(\frac{1}{3}\) of their names begin with the letters M or C. How can you use equivalent fractions to find how many students this is?
Answer:
10 students
Explanation:
we can multiply 3 x 10 to get number of students
Then you can multiply 1 x 10 to get 10 and make an equivalent fraction
\(\frac{10}{30}\)
so, there are 10 students whose names starts with letters M and C.