All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 3 Interpreting Division of Whole Numbers by Fractions **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 8 Lesson 3 Interpreting Division of Whole Numbers by Fractions

**Interpret**

**Solve. Use models to help.
**Question 1.

Mandy has a bucket that can hold 7 gallons of liquid. If she uses a cup that can hold \(\frac{1}{5}\) of a gallon, how many cups of liquid will she need to fill the bucket?

Answer:

35 cups of liquid will she need to fill the bucket.

Explanation:

Number of gallons of liquid Mandy has a bucket that can hold = 7.

Number of gallons of liquid of cup she uses = \(\frac{1}{5}\)

Conversion:

1cup = 0.0625 gallon.

Number of cups of liquid she will need to fill the bucket = Number of gallons of liquid Mandy has a bucket that can hold Ã· \(\frac{1}{5}\)

= 7 Ã·Â 0.2

= 35.

Question 2.

Amy has a backpack that can hold up to 5 kilograms. She also has a stack of books. Each book has a mass of \(\frac{1}{3}\) of 1 kilogram. How many books will fill the backpack?

Answer:

Number of books will fill the backpack = 15.15.

Explanation:

Number of kilograms Amy has a backpack that can hold up to = 5.

Number of kilograms each book has = \(\frac{1}{3}\)

Number of books will fill the backpack = Number of kilograms Amy has a backpack that can hold up to Ã· Number of kilograms each book has

= 5 Ã· \(\frac{1}{3}\)

= 5 Ã· 0.33

= 15.15.

Question 3.

Mr. Wagner has a bowl that can hold 3 quarts. If he uses a scoop that can hold \(\frac{1}{4}\) of a quart, how many scoops of liquid will he need to fill the bowl?

Answer:

Number of scoops of liquid he needs to fill the bowl = 12.

Explanation:

Number of quarts Mr. Wagner has a bowl that can hold = 3.

Number of quarts he uses a scoop that can hold = \(\frac{1}{4}\)

Number of scoops of liquid he needs to fill the bowl = Number of quarts Mr. Wagner has a bowl that can hold Ã· Number of quarts he uses a scoop that can hold

= 3 Ã· \(\frac{1}{4}\)

= 3 Ã· 0.25

= 12.