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Dividing Fractions Worksheet

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Dividing Fractions

Dividing fractions illustration

📚 Part 1: Multiple Choice

Choose the correct answer for each division problem.

1. What is 1/2 ÷ 1/4?

1/8

2

1/6

4

2. What is 3/4 ÷ 2/3?

6/12

9/8

5/7

1/2

3. What is 2 ÷ 1/3?

2/3

6

1/6

3/2

4. What is 5/6 ÷ 1/2?

5/12

5/3

6/10

2/3

✏️ Part 2: Solve and Show Your Work

Remember: To divide fractions, multiply by the reciprocal!

5. 2/3 ÷ 4/5 = _________
6. 1/4 ÷ 3/8 = _________
7. 3 ÷ 2/7 = _________
8. 7/8 ÷ 1/4 = _________

🧮 Part 3: Word Problems

9. Sarah has 3/4 cup of flour. She needs to divide it equally into portions of 1/8 cup each. How many portions can she make?

Answer: _________ portions

10. A recipe calls for 2/3 cup of sugar, but Tom wants to make 1/4 of the recipe. How much sugar does he need?

Answer: _________ cup of sugar


Dividing Fractions Worksheet - Answer Key

Answer key illustration

📚 Part 1: Multiple Choice - Answers

1. What is 1/2 ÷ 1/4? Answer: 2

Solution: 1/2 × 4/1 = 4/2 = 2

2. What is 3/4 ÷ 2/3? Answer: 9/8

Solution: 3/4 × 3/2 = 9/8 = 1 1/8

3. What is 2 ÷ 1/3? Answer: 6

Solution: 2/1 × 3/1 = 6/1 = 6

4. What is 5/6 ÷ 1/2? Answer: 5/3

Solution: 5/6 × 2/1 = 10/6 = 5/3 = 1 2/3

✏️ Part 2: Solve and Show Your Work - Answers

5. 2/3 ÷ 4/5 = 5/6

Solution: 2/3 × 5/4 = 10/12 = 5/6

6. 1/4 ÷ 3/8 = 2/3

Solution: 1/4 × 8/3 = 8/12 = 2/3

7. 3 ÷ 2/7 = 10 1/2

Solution: 3/1 × 7/2 = 21/2 = 10 1/2

8. 7/8 ÷ 1/4 = 3 1/2

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

🧮 Part 3: Word Problems - Answers

9. Sarah has 3/4 cup of flour. She needs to divide it equally into portions of 1/8 cup each. How many portions can she make?

Answer: 6 portions

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

10. A recipe calls for 2/3 cup of sugar, but Tom wants to make 1/4 of the recipe. How much sugar does he need?

Answer: 1/6 cup of sugar

Solution: 2/3 × 1/4 = 2/12 = 1/6 (This is multiplication, not division, since he wants a fraction of the original amount)

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