Let’s solve each division of fractions problem step by step.
Remember: To divide by a fraction, you multiply by its reciprocal (flip the second fraction).
Also, if you’re dividing a whole number by a fraction, write the whole number as a fraction over 1 first.
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Problem 1: 9 ÷ 2/3
→ Write 9 as 9/1
→ Flip 2/3 → becomes 3/2
→ Multiply: 9/1 × 3/2 = (9×3)/(1×2) = 27/2
→ Convert to mixed number: 27 ÷ 2 = 13 with remainder 1 →
13 1/2
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Problem 2: 8 ÷ 5/6
→ 8 = 8/1
→ Flip 5/6 → 6/5
→ 8/1 × 6/5 = 48/5
→ 48 ÷ 5 = 9 R3 →
9 3/5
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Problem 3: 2 ÷ 1/5
→ 2 = 2/1
→ Flip 1/5 → 5/1
→ 2/1 × 5/1 = 10/1 =
10
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Problem 4: 5 ÷ 1/4
→ 5 = 5/1
→ Flip 1/4 → 4/1
→ 5/1 × 4/1 = 20/1 =
20
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Problem 5: 2 ÷ 1/8
→ 2 = 2/1
→ Flip 1/8 → 8/1
→ 2/1 × 8/1 = 16/1 =
16
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Problem 6: 5 ÷ 3/8
→ 5 = 5/1
→ Flip 3/8 → 8/3
→ 5/1 × 8/3 = 40/3
→ 40 ÷ 3 = 13 R1 →
13 1/3
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Problem 7: 8 ÷ 2/5
→ 8 = 8/1
→ Flip 2/5 → 5/2
→ 8/1 × 5/2 = 40/2 =
20
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Problem 8: 3 ÷ 3/5
→ 3 = 3/1
→ Flip 3/5 → 5/3
→ 3/1 × 5/3 = 15/3 =
5
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Problem 9: 9 ÷ 1/5
→ 9 = 9/1
→ Flip 1/5 → 5/1
→ 9/1 × 5/1 = 45/1 =
45
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Problem 10: 2 ÷ 1/5
→ Same as Problem 3 →
10
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Problem 11: 7 ÷ 2/5
→ 7 = 7/1
→ Flip 2/5 → 5/2
→ 7/1 × 5/2 = 35/2
→ 35 ÷ 2 = 17 R1 →
17 1/2
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Problem 12: 8 ÷ 4/5
→ 8 = 8/1
→ Flip 4/5 → 5/4
→ 8/1 × 5/4 = 40/4 =
10
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Problem 13: 3 ÷ 1/3
→ 3 = 3/1
→ Flip 1/3 → 3/1
→ 3/1 × 3/1 = 9/1 =
9
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Problem 14: 4 ÷ 1/5
→ 4 = 4/1
→ Flip 1/5 → 5/1
→ 4/1 × 5/1 = 20/1 =
20
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Problem 15: 7 ÷ 1/3
→ 7 = 7/1
→ Flip 1/3 → 3/1
→ 7/1 × 3/1 = 21/1 =
21
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Problem 16: 5 ÷ 2/5
→ 5 = 5/1
→ Flip 2/5 → 5/2
→ 5/1 × 5/2 = 25/2
→ 25 ÷ 2 = 12 R1 →
12 1/2
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Problem 17: 7 ÷ 1/5
→ 7 = 7/1
→ Flip 1/5 → 5/1
→ 7/1 × 5/1 = 35/1 =
35
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Problem 18: 5 ÷ 1/5
→ 5 = 5/1
→ Flip 1/5 → 5/1
→ 5/1 × 5/1 = 25/1 =
25
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Problem 19: 3 ÷ 3/5
→ Same as Problem 8 →
5
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Problem 20: 4 ÷ 1/5
→ Same as Problem 14 →
20
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Final Answer:
1. 13 1/2
2. 9 3/5
3. 10
4. 20
5. 16
6. 13 1/3
7. 20
8. 5
9. 45
10. 10
11. 17 1/2
12. 10
13. 9
14. 20
15. 21
16. 12 1/2
17. 35
18. 25
19. 5
20. 20
Parent Tip: Review the logic above to help your child master the concept of dividing fractions with whole numbers worksheet.
