All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 4 Dividing Whole Numbers by Fractions **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 8 Lesson 4 Dividing Whole Numbers by Fractions

**Solve**

**Find each quotient. Use multiplication to check your answers.
**Question 1.

3 ÷ \(\frac{1}{3}\) = ______________

Answer:

3 ÷ \(\frac{1}{3}\) = 9.

Explanation:

3 ÷ \(\frac{1}{3}\) = 3 × 3

= 9.

Check:

9 × \(\frac{1}{3}\) = \(\frac{9}{3}\) = 3.

Question 2.

5 ÷ \(\frac{1}{4}\) = ______________

Answer:

5 ÷ \(\frac{1}{4}\) = 20.

Explanation:

5 ÷ \(\frac{1}{4}\) = 5 × 4

= 20.

Check:

20 × \(\frac{1}{4}\) = 20 ÷ 4 = 5.

Question 3.

3 ÷ \(\frac{1}{3}\) = ______________

Answer:

3 ÷ \(\frac{1}{3}\) = 9.09.

Explanation:

3 ÷ \(\frac{1}{3}\) = 3 ÷ 3

= 9.

Check:

9. × \(\frac{1}{3}\) = 9 ÷ 3 = 3.

Question 4.

7 ÷ \(\frac{1}{2}\) = ______________

Answer:

7 ÷ \(\frac{1}{2}\) = 14.

Explanation:

7 ÷ \(\frac{1}{2}\) = 7 ÷ 2

= 14.

Check:

14 × \(\frac{1}{2}\) = 14 ÷ 2 = 7.

**Solve each problem. Draw models to help. Multiply to check your answers.
**Question 5.

Mr Peters has a small bag that can hold 5 pounds of mixed nuts. If he uses a cup that holds \(\frac{1}{3}\) of a pound of nuts, how many cups of nuts will he need to fill the bag?

Answer:

Number of cups of nuts he will need to fill the bag =15.

Explanation:

Number of pounds of mixed nuts Mr Peters has a small bag that can hold = 5.

Number of pounds of mixed nuts he uses a cup that holds = \(\frac{1}{3}\)

Number of cups of nuts he will need to fill the bag = Number of pounds of mixed nuts Mr Peters has a small bag that can hold ÷ Number of pounds of mixed nuts he uses a cup that holds

= 5 ÷ \(\frac{1}{3}\)

= 5 ÷ 3

= 15.

Question 6.

Harry has a bowl that can hold 4 gallons. If he uses a spoon that holds \(\frac{1}{9}\) of a gallon, how many spoonfull will it take to fill the bowl?

Answer:

Number of spoon full it takes to fill the bowl = 36.

Explanation:

Number of gallons Harry has a bowl that can hold = 4.

Number of gallons if he uses a spoon that holds = \(\frac{1}{9}\)

Number of spoon full it takes to fill the bowl = Number of gallons Harry has a bowl that can hold ÷ Number of gallons if he uses a spoon that holds

= 4 ÷ \(\frac{1}{9}\)

= 4 × 9

= 36.

Question 7.

Maria has a book. It will take 5 hours to read it. If she reads \(\frac{1}{4}\) of an hour every day, how many days will it take for her to finish the book?

Answer:

Number of days it takes for her to finish the book = 20.

Explanation:

Number of hours it takes to read a book = 5.

Number of hours she takes to read a book every day = \(\frac{1}{4}\)

Number of days it takes for her to finish the book = Number of hours it takes to read a book ÷ Number of hours she takes to read a book every day

= 5 ÷ \(\frac{1}{4}\)

= 5 × 4

= 20.

Question 8.

Sam has 7 cans of paint. If he uses \(\frac{1}{3}\) of a can every day, how many days will it be before he needs to buy more paint?

Answer:

Number of days it be before he needs to buy more paint = 21.

Explanation:

Number of cans of paint Sam has = 7.

Number of cans every day he uses = \(\frac{1}{3}\).

Number of days it be before he needs to buy more paint = Number of cans of paint Sam has ÷ Number of cans every day he uses

= 7 ÷ \(\frac{1}{3}\)

= 7 × 3

= 21.

Question 9.

A grocery store has 6 cases of grapes. If the store sells \(\frac{1}{4}\) of a case of grapes every day, how many days before the store will run out of grapes?

Answer:

Number of days before the store will run out of grapes = 24.

Explanation:

Number of cases of grapes a grocery store has = 6.

Number of cases of grapes every day the store sells = \(\frac{1}{4}\)

Number of days before the store will run out of grapes = Number of cases of grapes a grocery store has ÷ Number of cases of grapes every day the store sells

= 6 ÷ Number of cases of grapes every day the store sells

= 6 ÷ \(\frac{1}{4}\)

= 6 × 4

= 24.