Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 4 Practice 6 Dividing Fractions and Whole Numbers to finish your assignments.

## Math in Focus Grade 5 Chapter 4 Practice 6 Answer Key Dividing Fractions and Whole Numbers

**Shade parts of the model to show the division expression. Then complete.**

Example

Question 1.

\(\frac{1}{6}\) ÷ 3

Answer:

Explanation:

Shaded the parts of the model to show the division expression

**Divide. Draw models to help you.**

Question 2.

\(\frac{4}{5}\) ÷ 2 =

Answer:

Explanation:

\(\frac{4}{5}\) ÷ 2 = \(\frac{4}{10}\)

Question 3.

\(\frac{6}{7}\) ÷ 3 =

Answer:

Explanation:

\(\frac{6}{7}\) ÷ 3 = \(\frac{6}{21}\)

Question 4.

\(\frac{3}{4}\) ÷ 2 =

Answer:

Explanation:

\(\frac{3}{4}\) ÷ 2 = \(\frac{3}{8}\)

Question 5.

\(\frac{2}{5}\) ÷ 3 =

Answer:

Explanation:

\(\frac{2}{5}\) ÷ 3 = \(\frac{2}{15}\)

**Divide. Express each quotient in simplest form.**

Question 6.

\(\frac{4}{5}\) ÷ 7 =

Answer:

Explanation:

\(\frac{4}{5}\) ÷ 7 = \(\frac{4}{35}\)

Question 7.

\(\frac{5}{8}\) ÷ 9 =

Answer:

\(\frac{5}{8}\) ÷ 9 = \(\frac{5}{72}\)

Question 8.

\(\frac{8}{9}\) ÷ 4 =

Answer:

Explanation:

\(\frac{8}{9}\) ÷ 4 = \(\frac{8}{36}\)

Question 9.

\(\frac{10}{11}\) ÷ 5 =

Answer:

Explanation:

\(\frac{10}{11}\) ÷ 5 = \(\frac{10}{55}\)

**Divide. Draw models to help you.**

Example

Question 10.

1 ÷ \(\frac{1}{4}\) = ____

Answer:

Explanation:

1 ÷ \(\frac{1}{4}\) = \(\frac{1}{4}\)

Question 11.

3 ÷ \(\frac{1}{3}\) = ____

Answer:

Explanation:

3 ÷ \(\frac{1}{3}\) = \(\frac{1}{9}\)

Question 12.

5 ÷ \(\frac{1}{8}\) = ____

Answer:

1 out of 40 are colored

Explanation:

5 ÷ \(\frac{1}{8}\) = \(\frac{1}{40}\)

Question 13.

9 ÷ \(\frac{1}{6}\) = ____

Answer:

1 out of 54 is colored

Explanation:

9 ÷ \(\frac{1}{6}\) = \(\frac{1}{54}\)

**Solve. Show your work**

Question 14.

Mr. Chagall’s garden covers \(\frac{2}{5}\) of an acre of land. He divides the land into 4 equal sections. What fraction of an acre is each section of the garden?

Answer:

Explanation:

Mr. Chagall’s garden covers \(\frac{2}{5}\) of an acre of land.

He divides the land into 4 equal sections.

\(\frac{1}{10}\) fraction of an acre is each section of the garden

Question 15.

Gordon pours \(\frac{4}{9}\) quart of milk from a pitcher equally into 4 mugs.

a. Find the amount of milk in each mug.

Answer:

4 mugs is \(\frac{1}{9}\)

b. Find the amount of milk in 3 mugs.

Answer:

4 mugs is \(\frac{1}{9}\)

**Solve. Show your work.**

Question 16.

Calvin buys \(\frac{3}{5}\) pound of ground beef. He divides the beef into 6 equal portions.

a. Find the weight of 1 portion of beef.

Answer:

If he divides in to 1 portion the weight is \(\frac{3}{5}\)

b. Find the weight of 4 portions of beef.

Answer:

The weight of 4 portions is \(\frac{3}{10}\)

Question 17.

Devon buys a plot of land with an area of \(\frac{5}{6}\) square kilometer. He divides the land equally into 4 smaller plots. What is the total area of 3 of the smaller plots of land?

Answer:

Explanation:

Devon buys a plot of land with an area of \(\frac{5}{6}\) square kilometer.

He divides the land equally into 4 smaller plots.

the total area of 3 of the smaller plots of land is \(\frac{10}{9}\)

**Solve. Show your work**

Question 18.

Sandra has a 5-foot length of canvas. She cuts the canvas into pieces that are \(\frac{1}{4}\) feet long. How many pieces will she have?

Answer:

Explanation:

Sandra has a 5-foot length of canvas.

She cuts the canvas into pieces that are \(\frac{1}{4}\) feet long.

20 pieces she will have

Question 19.

Aidan uses \(\frac{1}{4}\) of the water in a bucket to water 1 potted plant. How many potted plants can Aidan water with 3 full buckets of water?

Answer:

\(\frac{1}{4}\) x 3 = 12

Explanation:

Aidan uses \(\frac{1}{4}\) of the water in a bucket to water 1 potted plant.

12 potted plants can Aidan water with 3 full buckets of water

Question 20.

Mrs. Carter needs \(\frac{1}{2}\) meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?

Answer:

Explanation:

Mrs. Carter needs \(\frac{1}{2}\) meter of cloth to make a pillowcase.

10 pillowcases can she make with 5 meters of cloth?