Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 6.2 Answer Key Multiply Fractions and Whole Numbers.

## Texas Go Math Grade 5 Lesson 6.2 Answer Key Multiply Fractions and Whole Numbers

**Investigate**

Martin is planting a vegetable garden. Each row is two meters long. He wants to plant carrots along \(\frac{3}{4}\) of each row. How many meters of each row will he plant with carrots?

Multiply. \(\frac{3}{4}\) × 2

Materials; fraction strips; MathBoard

A. Place two 1-whole fraction strips side-by-side to represent the length of the garden.

B. Find 4 fraction strips all with the same denominator that fit exactly under the two wholes.

C. Draw a picture of your model. ____________________

D. Circle \(\frac{3}{4}\) of 2 on the model you drew.

E. Complete the number sentence. \(\frac{3}{4}\) × 2 = _________

So, Martin will plant carrots along _________ meters of each row.

Answer:

Multiply (3/4) × 2

A. Place two 1-whole fraction strips side-by-side to represent the length of the garden.

B. Find 4 fraction strips all with the same denominator that fit exactly under the two wholes.

C. Draw a picture of our model.

D. Circle 3/4 of 2 on the model we drew.

E. Complete the number sentence.

(3/4) × 2 = 6/4 = **3/2 or 1(1/2)**

So, Martin will plant carrots along 1(1/2) meters of each row.

**Draw Conclusions**

Question 1.

Explain why you placed four fraction strips with me the same denominator under the two 1-whole strips.

Answer:

I wanted to divide the entire length of the two wholes into four equal parts. The 4, 1/2 fractions strips did that.

Question 2.

Explain how you would model \(\frac{3}{10}\) of 2?

Answer:

I could divide the two wholes into ten equal parts using 10, 1/5 fraction strips. I would circle 3/10 of the 1/5 strips. This would equal 3/5.

**Make Connections**

You can also use a model to multiply a fraction by a whole number.

Margo was helping clean up after a class party. There were 3 boxes remaining with pizza in them. Each box had \(\frac{3}{8}\) of a pizza left. How much pizza was left in all?

Materials; fraction circles

STEP 1: Find 3 × \(\frac{3}{8}\). Model three 1-whole fraction circles to represent the number of boxes containing pizza.

STEP 2: Place \(\frac{1}{8}\) fraction circle pieces on each circle to represent the amount of pizza that was left in each box. Shade the fraction circles below to show your model.

Each circle shows ________ eighths of a whole.

The 3 circles show ________ eighths of a whole.

STEP 3: Complete the number sentences.

\(\frac{3}{8}\) + \(\frac{3}{8}\) + \(\frac{3}{8}\) = ____________

3 × \(\frac{3}{8}\) = ____________

So, Margo had __________ boxes of pizza left.

Answer:

STEP 1: Find 3 × 3/8. Model three 1-whole fraction circles to represent the number of boxes containing pizza.

STEP 2: Place 1/8 fraction circle pieces on each circle to represent the amount of pizza that was left in each box. Shade the fraction circles below to show your model.

Each circle shows **3** eighths of a whole.

The 3 circles show **9** eighths of a whole.

STEP 3: Complete the number sentences.

3/8 + 3/8 + 3/8 = **9/8**

3 × 3/8 = **9/8**

So, Margo had **9/8 or 1(1/8)** boxes of pizza left.

**Math Talk**

**Mathematical Processes**

Explain how you would know there is more than one pizza left.

Answer:

**Share and Show**

**Use the model to find the product.**

Question 1.

\(\frac{5}{6}\) × 3 = __________

Answer:

5/6 x 3 = 15/6 = **5/2 or 2(1/2)**

Explanation:

In the above image we can observe three 1-whole fraction strips side-by-side. The 6 fraction strips all with the same denominator that fit exactly under the three wholes. So, drawn a circle for 5/2 on the model given. The number sentence is (5/6) × 3 = **5/2. **

Question 2.

2 × \(\frac{5}{6}\) = ____________

Answer:

2 x (5/6) = 10/6 = **5/3 or 1(2/3)**

Explanation:

In the above image we can observe two circles. Each circle shows **5** six’s of a whole. The 2 circles show **10** six’s of a whole. The number sentence is 2 × 5/6 = **10/6 = 5/3 or 1(2/3).**

**Problem Solving**

**Pose a Problem**

Question 3.

Tarique drew the model below for a problem. Write 2 problems that can be solved using this model. One of your problems should involve multiplying a whole number by a fraction and the other problem should involve multiplying a fraction by a whole number.

Pose a problem.

Solve your problems.

Answer:

Explanation:

Pose a problem:

1. A gardener is planting flowers in 6 rows of the garden. He will plant 2/5 of the 6 rows with 6 roses. How many rows will be filled with roses.

2. A gardener planted 2/5 of a row with roses. If he plants 5 more rows like first row, how many rows of roses will there be. When all the 6 rows are planted.

Solve your problems:

1. (2/5) of 6 = (2/5) x 6 = **12/5 or 2(2/5)**

2(2/5) rows will be roses.

2. 6 x (2/5) = **12/5 or 2 (2/5)**

2(2/5) rows will be roses.

Question 4.

**H.O.T. Multi-Step** How could you change the model to give you an answer of 4\(\frac{4}{5}\)? Explain and write a new equation.

Answer:

**6 x (4/5) = 24/5 or 4(4/5)**

Explanation:

In the above image we can observe 6 rectangles. I change the model to give an answer of 4(4/5). I would shade 2 more sections in each rectangle to get 24/5 or 4(4/5).

**Daily Assessment Task**

**Fill In the bubble completely to show your answer.**

Question 5.

Carly mixes vinegar and baking soda for a science project. She has a spoon that measures \(\frac{1}{4}\) teaspoon. If she fills the spoon 6 times, how much baking soda will she have?

(A) \(\frac{1}{10}\) teaspoon

(B) \(\frac{2}{3}\) teaspoon

(C) 1\(\frac{1}{2}\) teaspoons

(D) 1\(\frac{3}{4}\) teaspoons

Answer:

**6 x (1/4) = 3/2 = 1(1/2)**

Carly have 1(1/2) baking soda.

So, option C is correct.

Explanation:

Carly mixes vinegar and baking soda for a science project. She has a spoon that measures 1/4 teaspoon. She fills the spoon 6 times. Multiply 6 with 1/4 the product is 3/2. The fraction 3/2 in mixed fraction form is 1(1/2). Carly have 1(1/2) baking soda. So, draw a circle to option C.

Question 6.

Use Tools Which multiplication problem does the model represent?

Answer:

3/8 x 4 = **3/2**

So, option B is correct.

Explanation:

In the above image we can observe four 1-whole fraction strips side-by-side. The 8 fraction strips all with the same denominator that fit exactly under the four wholes. So, drawn a circle for 3/8 of 4 on the model given. The number sentence is (3/8) × 4 = **3/2. **So, the multiplication (3/8) x 4 represents the above model.

Question 7.

**Multi-Step** Josh brought 4 small spinach pies to his baseball team party. At the end of the party, \(\frac{3}{5}\) of each pie was left. If Josh gave 2 whole pies away, what part of a pie did he have left to take home?

(A) \(\frac{2}{5}\)

(B) \(\frac{5}{6}\)

(C) \(\frac{1}{3}\)

(D) \(\frac{1}{2}\)

Answer:

**4 x (3/5) = 12/5 **

**(12/5) – 2 = 2/5**

Josh have 2/5 part of a pie left to take home.

So, option A is correct.

Explanation:

Josh brought 4 small spinach pies to his baseball team party. At the end of the party, 3/5 of each pie was left. Multiply 4 with 3/5 the product is 12/5. Josh gave 2 whole pies away. Subtract 2 from 12/5 the difference is 2/5. Josh have 2/5 part of a pie left to take home. So, draw a circle to option A.

**Texas Test Prep**

Question 8.

Katana has a shelf that is 5 feet long. She wants to paint a design along \(\frac{7}{10}\) of the shelf. How many feet of the shelf will Katana paint a design?

(A) 1\(\frac{2}{5}\) feet

(B) 1\(\frac{1}{5}\) feet

(C) 3\(\frac{1}{2}\) feet

(D) 4\(\frac{3}{10}\) feet

Answer:

**5 x (7/10) = 7/2 = 3(1/2)**

Katana paint a design 3(1/2) feet of the shelf.

So, option C is correct.

Explanation:

Katana has a shelf that is 5 feet long. She wants to paint a design along 7/10 of the shelf. Multiply 5 with 7/10 the product is 7/2. The fraction 7/2 in mixed fraction form is 3(1/2). Katana paint a design 3(1/2) feet of the shelf.

So, draw a circle to option C.

### Texas Go Math Grade 5 Lesson 6.1 Homework and Practice Answer Key

**Use the model to find the product.**

Question 1.

Answer:

Explanation:

In the above we can observe two 1-whole fraction strips side-by-side. The 10 fraction strips all with the same denominator that fit exactly under the two wholes. So, circle is already drawn for (9/10) x 2 on the model given. The number sentence is (9/10) × 2 = **9/5. **

Question 2.

Answer:

Explanation:

In the above image we can observe three circles. Each circle is shaded 3 parts out of 4. The 3 circles are shaded 9 parts out of 12. The number sentence is (3/4) x 3 = 9/4.

Question 3.

Answer:

Explanation:

In the above we can observe three 1-whole fraction strips side-by-side. The 24 fraction strips all with the same denominator that fit exactly under the three wholes. So, circle is already drawn for (5/8) x 3 on the model given. The number sentence is (5/8) × 3 = **15/8. **

Question 4.

Answer:

Explanation:

In the above image we can observe four circles. Each circle is shaded 5 parts out of 6. The 4 circles are shaded 20 parts out of 24. The number sentence is (5/6) x 4 = 10/3.

Question 5.

Answer:

Explanation:

In the above we can observe two 1-whole fraction strips side-by-side. The 12 fraction strips all with the same denominator that fit exactly under the two wholes. So, circle is already drawn for (7/12) x 2 on the model given. The number sentence is (7/12) × 2 = **7/6. **

Question 6.

Answer:

Explanation:

In the above image we can observe two circles. Each circle is shaded 7 parts out of 10. The 2 circles are shaded 14 parts out of 20. The number sentence is (7/10) x 2 = 7/5.

**Problem Solving**

Question 7.

Chef Talbot is baking 6 blueberry pies. If he uses 3/4 pint of blueberries in each pie, how many pints of blueberries will he need?

Answer:

**6 x 3/4 = 9/2 = 4(1/2)**

He need 4(1/2) pints of blueberries.

Explanation:

Chef Talbot is baking 6 blueberry pies. He uses 3/4 pint of blueberries in each pie. Multiply 6 with 3/4 the product is 9/2. The fraction 9/2 in mixed fraction form is 4(1/2). He need 4(1/2) pints of blueberries.

Question 8.

Mr. McGregor pours \(\frac{3}{8}\) pound of dirt in each of his 4 flower pots. How much dirt does Mr. McGregor use to fill the 4 pots?

Answer:

**(3/8) x 4 = 12/8 = 3/2 or 1(1/2)**

McGregor needs 1(1/2) pounds of dirt to fill the 4 pots.

Explanation:

Mr. McGregor pours 3/8 pound of dirt in each of his 4 flower pots. Multiply 3/8 with 4 the product is 3/2. The fraction 3/2 in mixed fraction form is 1(1/2). McGregor needs 1(1/2) pounds of dirt to fill the 4 pots.

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 9.

Which multiplication problem does the model represent?

Answer:

7/8 x 2 = **7/4**

So, option B is correct.

Explanation:

In the above image we can observe two 1-whole fraction strips side-by-side. The 8 fraction strips all with the same denominator that fit exactly under the two wholes. So, drawn a circle for 7/8 of 2 on the model given. The number sentence is (7/8) × 2 = **7/4. **So, the multiplication (7/8) x 2 represents the above model.

Question 10.

Which multiplication problem does the model represent?

Answer:

Option A is correct.

Explanation:

In the above image we can observe 3 circles. Each circle is shaded with 5 parts out 12 parts. Multiply (5/12) with 3 the product is 5/4. The multiplication problem (5/12) x 3 represents the above model.

Question 11.

Marianne is completing a 4-mile route for charIty Every \(\frac{1}{10}\) mile is marked along the route. For each mile, she runs \(\frac{7}{10}\) mile and walks \(\frac{3}{10}\) mile. How many miles does Marianne run?

(A) 1\(\frac{1}{10}\) miles

(B) 2\(\frac{4}{5}\) miles

(C) 1\(\frac{1}{5}\) miles

(D) 2\(\frac{2}{5}\) miles

Answer:

**4 x (7/10) = 14/5 = 2(4/5)**

Marianne runs 2(4/5) miles.

So, option B is correct.

Explanation:

Marianne is completing a 4-mile route for charity. Every 1/10 mile is marked along the route. For each mile, she runs 7/10 mile and walks 3/10 mile. Multiply 4 miles with 7/10 the product is 14/5. The fraction 14/5 in mixed fraction is 2(4/5). Marianne runs 2(4/5) miles. So, draw a circle to option B.

Question 12.

Terrance runs 5 miles each week. His brother runs \(\frac{5}{6}\) the distance Terrance runs in one week. How far does Terrance’s brother run in one week?

(A) 3\(\frac{1}{3}\) miles

(B) 4\(\frac{1}{6}\) miles

(C) 5\(\frac{1}{6}\) miles

(D) 4 miles

Answer:

**5 x (5/6) = 25/6 = 4(1/6)**

Terrance’s brother run 4(1/6) miles in one week.

So, option B is correct.

Explanation:

Terrance runs 5 miles each week. His brother runs 5/6 the distance Terrance runs in one week. Multiply 5 miles with 5/6 the product is 25/6. The fraction form of 25/6 in mixed fraction is 4(1/6). Terrance’s brother run 4(1/6) miles in one week. So, draw a circle to option B.

Question 13.

**Multi-Step** Colton’s recipe makes 2 dozen brownies. His recipe calls for \(\frac{7}{8}\) cup of vegetable oil. How much oil will Colton need to make 6 dozen brownies?

(A) 2\(\frac{5}{8}\) cups

(B) 1\(\frac{3}{4}\) cups

(C) 5\(\frac{1}{4}\) cups

(D) 3\(\frac{1}{2}\) cups

Answer:

**3 x 7/8 = 21/8 = 2(5/8)**

Colton need 2(5/8) cups of oil to make 6 dozen brownies.

So, option A is correct.

Explanation:

Colton’s recipe makes 2 dozen brownies. His recipe calls for 7/8 cup of vegetable oil. Multiply 3 with 7/8 the product is 21/8. The fraction 21/8 in mixed fraction form is 2(5/8). Colton need 2(5/8) cups of oil to make 6 dozen brownies. So, draw a circle to option A.

Question 14.

**Multi-Step** Kiesha brought 3 loaves of cornbread to a football party. \(\frac{5}{12}\) of each loaf was eaten. If Kiesha gave 1 whole loaf of the leftover bread to the party hosts, what part of a loaf did she have left to take home?

(A) \(\frac{3}{4}\)

(B) \(\frac{1}{4}\)

(C) \(\frac{1}{2}\)

(D) \(\frac{7}{12}\)

Answer:

1- (5/12) = 7/12

3 x (7/12) = 7/4

(7/4) – 1 = 3/4

Kiesha left 3/4 part of a loaf to take home.

So, option A is correct.

Explanation:

Kiesha brought 3 loaves of cornbread to a football party. 5/12 of each loaf was eaten. Kiesha gave 1 whole loaf of the leftover bread to the party hosts. First subtract 5/12 from 1 the difference is 7/12. Multiply 3 loaves with 7/12 the product is 7/4. Subtract 1 from 7/4 the difference is 3/4. Kiesha left 3/4 part of a loaf to take home. So, draw a circle to option A.