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Dividing Fractions Word Problems

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Dividing Fractions Word Problems

Dividing fractions illustration

📚 Part 1: Multiple Choice Word Problems

1. Sarah has 3/4 pound of chocolate. She wants to divide it into pieces that are each 1/8 pound. How many pieces will she have?

6 pieces

8 pieces

3 pieces

4 pieces

2. A recipe calls for 2/3 cup of flour. If Tom wants to make 1/4 of the recipe, how much flour does he need?

1/6 cup

8/12 cup

2/12 cup

1/3 cup

3. Maria walked 5/6 mile in 1/3 hour. What was her walking speed in miles per hour?

2 1/2 miles per hour

5/18 miles per hour

1 2/3 miles per hour

15/6 miles per hour

4. A carpenter has a board that is 7/8 feet long. He needs to cut it into pieces that are each 1/4 foot long. How many pieces can he cut?

3 pieces

3 1/2 pieces

7/32 pieces

2 pieces

✏️ Part 2: Show Your Work

5. Lisa has 2/3 gallon of paint. Each room requires 1/6 gallon of paint. How many rooms can she paint? Show your work and write your answer as a mixed number if needed.
6. A pizza is cut into slices that are each 1/12 of the whole pizza. If Jake ate 3/4 of the pizza, how many slices did he eat? Show your division problem and solve.
7. Mrs. Johnson has 5/8 pound of trail mix. She wants to put it into bags that each hold 1/16 pound. How many bags will she need? Explain your reasoning.

🧠 Part 3: Problem Solving

8. A factory produces 3/5 ton of steel per day. If they need to fulfill an order for 1/10 ton of steel, what fraction of a day will it take? Write and solve the division problem.
9. Create your own word problem involving dividing fractions. Then solve it step by step.

Your word problem:

Solution:

Answer Key - Dividing Fractions Word Problems

Answer key illustration

📚 Part 1: Multiple Choice Answers

1. Sarah has 3/4 pound of chocolate divided into 1/8 pound pieces.

Answer: A) 6 pieces

Solution: 3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6

2. Tom needs 1/4 of a recipe that calls for 2/3 cup flour.

Answer: A) 1/6 cup

Solution: 2/3 ÷ 4/1 = 2/3 × 1/4 = 2/12 = 1/6

3. Maria's walking speed (5/6 mile in 1/3 hour).

Answer: A) 2 1/2 miles per hour

Solution: 5/6 ÷ 1/3 = 5/6 × 3/1 = 15/6 = 2 3/6 = 2 1/2

4. Board 7/8 feet long cut into 1/4 foot pieces.

Answer: B) 3 1/2 pieces

Solution: 7/8 ÷ 1/4 = 7/8 × 4/1 = 28/8 = 3 4/8 = 3 1/2

✏️ Part 2: Show Your Work Answers

5. Lisa's paint problem (2/3 gallon ÷ 1/6 gallon per room)

Answer: 4 rooms

Solution: 2/3 ÷ 1/6 = 2/3 × 6/1 = 12/3 = 4 rooms

6. Jake's pizza slices (3/4 pizza ÷ 1/12 per slice)

Answer: 9 slices

Solution: 3/4 ÷ 1/12 = 3/4 × 12/1 = 36/4 = 9 slices

7. Trail mix bags (5/8 pound ÷ 1/16 pound per bag)

Answer: 10 bags

Solution: 5/8 ÷ 1/16 = 5/8 × 16/1 = 80/8 = 10 bags

🧠 Part 3: Problem Solving Answers

8. Steel production problem (1/10 ton ÷ 3/5 ton per day)

Answer: 1/6 of a day

Solution: 1/10 ÷ 3/5 = 1/10 × 5/3 = 5/30 = 1/6 day

9. Student-created problems will vary.

Sample answer: Check that students correctly set up a division problem with fractions and use the "multiply by reciprocal" rule to solve.

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