Fraction division practice worksheet with 24 problems for students to solve.

Let's solve each of these fraction division problems step by step. The general rule for dividing fractions is:

> To divide by a fraction, multiply by its reciprocal.

That means:
$$
a \div \frac{b}{c} = a \times \frac{c}{b}
$$

We'll go through each problem one at a time.

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Left Column (Problems 1–12)

#### 1. $ \frac{2}{6} \div 3 $
- Simplify $ \frac{2}{6} = \frac{1}{3} $
- $ \frac{1}{3} \div 3 = \frac{1}{3} \times \frac{1}{3} = \frac{1}{9} $

✔ Answer: $ \frac{1}{9} $

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#### 2. $ \frac{2}{5} \div 5 $
- $ \frac{2}{5} \div 5 = \frac{2}{5} \times \frac{1}{5} = \frac{2}{25} $

✔ Answer: $ \frac{2}{25} $

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#### 3. $ 2 \div \frac{6}{7} $
- $ 2 \div \frac{6}{7} = 2 \times \frac{7}{6} = \frac{14}{6} = \frac{7}{3} $

✔ Answer: $ \frac{7}{3} $ or $ 2\frac{1}{3} $

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#### 4. $ 4 \div \frac{1}{2} $
- $ 4 \div \frac{1}{2} = 4 \times 2 = 8 $

✔ Answer: $ 8 $

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#### 5. $ 8 \div \frac{2}{3} $
- $ 8 \div \frac{2}{3} = 8 \times \frac{3}{2} = \frac{24}{2} = 12 $

✔ Answer: $ 12 $

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#### 6. $ \frac{5}{7} \div 9 $
- $ \frac{5}{7} \div 9 = \frac{5}{7} \times \frac{1}{9} = \frac{5}{63} $

✔ Answer: $ \frac{5}{63} $

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#### 7. $ \frac{1}{4} \div 6 $
- $ \frac{1}{4} \div 6 = \frac{1}{4} \times \frac{1}{6} = \frac{1}{24} $

✔ Answer: $ \frac{1}{24} $

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#### 8. $ 8 \div \frac{1}{6} $
- $ 8 \div \frac{1}{6} = 8 \times 6 = 48 $

✔ Answer: $ 48 $

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#### 9. $ \frac{4}{9} \div 1 $
- Any number divided by 1 is itself.
- $ \frac{4}{9} \div 1 = \frac{4}{9} $

✔ Answer: $ \frac{4}{9} $

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#### 10. $ 2 \div \frac{1}{5} $
- $ 2 \div \frac{1}{5} = 2 \times 5 = 10 $

✔ Answer: $ 10 $

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#### 11. $ \frac{1}{9} \div 7 $
- $ \frac{1}{9} \div 7 = \frac{1}{9} \times \frac{1}{7} = \frac{1}{63} $

✔ Answer: $ \frac{1}{63} $

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#### 12. $ 10 \div \frac{10}{11} $
- $ 10 \div \frac{10}{11} = 10 \times \frac{11}{10} = \frac{110}{10} = 11 $

✔ Answer: $ 11 $

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Right Column (Problems 13–24)

#### 13. $ 4 \div \frac{3}{2} $
- $ 4 \div \frac{3}{2} = 4 \times \frac{2}{3} = \frac{8}{3} = 2\frac{2}{3} $

✔ Answer: $ \frac{8}{3} $ or $ 2\frac{2}{3} $

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#### 14. $ \frac{3}{4} \div 3 $
- $ \frac{3}{4} \div 3 = \frac{3}{4} \times \frac{1}{3} = \frac{3}{12} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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#### 15. $ \frac{1}{8} \div 3 $
- $ \frac{1}{8} \div 3 = \frac{1}{8} \times \frac{1}{3} = \frac{1}{24} $

✔ Answer: $ \frac{1}{24} $

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#### 16. $ 7 \div \frac{1}{7} $
- $ 7 \div \frac{1}{7} = 7 \times 7 = 49 $

✔ Answer: $ 49 $

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#### 17. $ 1 \div \frac{3}{7} $
- $ 1 \div \frac{3}{7} = 1 \times \frac{7}{3} = \frac{7}{3} = 2\frac{1}{3} $

✔ Answer: $ \frac{7}{3} $ or $ 2\frac{1}{3} $

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#### 18. $ \frac{3}{2} \div 8 $
- $ \frac{3}{2} \div 8 = \frac{3}{2} \times \frac{1}{8} = \frac{3}{16} $

✔ Answer: $ \frac{3}{16} $

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#### 19. $ 5 \div \frac{5}{2} $
- $ 5 \div \frac{5}{2} = 5 \times \frac{2}{5} = \frac{10}{5} = 2 $

✔ Answer: $ 2 $

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#### 20. $ \frac{1}{11} \div 11 $
- $ \frac{1}{11} \div 11 = \frac{1}{11} \times \frac{1}{11} = \frac{1}{121} $

✔ Answer: $ \frac{1}{121} $

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#### 21. $ \frac{11}{12} \div 6 $
- $ \frac{11}{12} \div 6 = \frac{11}{12} \times \frac{1}{6} = \frac{11}{72} $

✔ Answer: $ \frac{11}{72} $

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#### 22. $ 4 \div \frac{4}{5} $
- $ 4 \div \frac{4}{5} = 4 \times \frac{5}{4} = \frac{20}{4} = 5 $

✔ Answer: $ 5 $

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#### 23. $ \frac{3}{8} \div 12 $
- $ \frac{3}{8} \div 12 = \frac{3}{8} \times \frac{1}{12} = \frac{3}{96} = \frac{1}{32} $

✔ Answer: $ \frac{1}{32} $

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#### 24. $ 3 \div \frac{9}{7} $
- $ 3 \div \frac{9}{7} = 3 \times \frac{7}{9} = \frac{21}{9} = \frac{7}{3} = 2\frac{1}{3} $

✔ Answer: $ \frac{7}{3} $ or $ 2\frac{1}{3} $

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✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | $ \frac{1}{9} $ |
| 2 | $ \frac{2}{25} $ |
| 3 | $ \frac{7}{3} $ |
| 4 | $ 8 $ |
| 5 | $ 12 $ |
| 6 | $ \frac{5}{63} $ |
| 7 | $ \frac{1}{24} $ |
| 8 | $ 48 $ |
| 9 | $ \frac{4}{9} $ |
| 10 | $ 10 $ |
| 11 | $ \frac{1}{63} $ |
| 12 | $ 11 $ |
| 13 | $ \frac{8}{3} $ |
| 14 | $ \frac{1}{4} $ |
| 15 | $ \frac{1}{24} $ |
| 16 | $ 49 $ |
| 17 | $ \frac{7}{3} $ |
| 18 | $ \frac{3}{16} $ |
| 19 | $ 2 $ |
| 20 | $ \frac{1}{121} $ |
| 21 | $ \frac{11}{72} $ |
| 22 | $ 5 $ |
| 23 | $ \frac{1}{32} $ |
| 24 | $ \frac{7}{3} $ |

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