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?