Fraction division practice worksheet for students to solve 15 problems.

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

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

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

We'll apply this rule to each problem.

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1. $ \frac{3}{4} \div \frac{1}{2} $

$$
= \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2} = 1\frac{1}{2}
$$

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

---

2. $ \frac{2}{3} \div \frac{3}{9} $

First simplify $ \frac{3}{9} = \frac{1}{3} $

Now:
$$
\frac{2}{3} \div \frac{1}{3} = \frac{2}{3} \times \frac{3}{1} = \frac{6}{3} = 2
$$

✔ Answer: $ 2 $

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3. $ \frac{2}{5} \div \frac{7}{9} $

$$
= \frac{2}{5} \times \frac{9}{7} = \frac{18}{35}
$$

✔ Answer: $ \frac{18}{35} $

---

4. $ \frac{2}{3} \div \frac{1}{2} $

$$
= \frac{2}{3} \times \frac{2}{1} = \frac{4}{3} = 1\frac{1}{3}
$$

✔ Answer: $ \frac{4}{3} $ or $ 1\frac{1}{3} $

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5. $ \frac{2}{9} \div \frac{2}{3} $

$$
= \frac{2}{9} \times \frac{3}{2} = \frac{6}{18} = \frac{1}{3}
$$

✔ Answer: $ \frac{1}{3} $

---

6. $ \frac{1}{3} \div \frac{2}{3} $

$$
= \frac{1}{3} \times \frac{3}{2} = \frac{3}{6} = \frac{1}{2}
$$

✔ Answer: $ \frac{1}{2} $

---

7. $ \frac{2}{4} \div \frac{5}{9} $

Simplify $ \frac{2}{4} = \frac{1}{2} $

$$
= \frac{1}{2} \times \frac{9}{5} = \frac{9}{10}
$$

✔ Answer: $ \frac{9}{10} $

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8. $ \frac{1}{2} \div \frac{1}{2} $

$$
= \frac{1}{2} \times \frac{2}{1} = \frac{2}{2} = 1
$$

✔ Answer: $ 1 $

---

9. $ \frac{1}{2} \div \frac{3}{4} $

$$
= \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}
$$

✔ Answer: $ \frac{2}{3} $

---

10. $ \frac{1}{2} \div \frac{3}{8} $

$$
= \frac{1}{2} \times \frac{8}{3} = \frac{8}{6} = \frac{4}{3} = 1\frac{1}{3}
$$

✔ Answer: $ \frac{4}{3} $ or $ 1\frac{1}{3} $

---

11. $ \frac{5}{9} \div \frac{3}{4} $

$$
= \frac{5}{9} \times \frac{4}{3} = \frac{20}{27}
$$

✔ Answer: $ \frac{20}{27} $

---

12. $ \frac{3}{4} \div \frac{1}{4} $

$$
= \frac{3}{4} \times \frac{4}{1} = \frac{12}{4} = 3
$$

✔ Answer: $ 3 $

---

13. $ \frac{1}{9} \div \frac{6}{8} $

Simplify $ \frac{6}{8} = \frac{3}{4} $

$$
= \frac{1}{9} \times \frac{4}{3} = \frac{4}{27}
$$

✔ Answer: $ \frac{4}{27} $

---

14. $ \frac{5}{6} \div \frac{5}{6} $

$$
= \frac{5}{6} \times \frac{6}{5} = \frac{30}{30} = 1
$$

✔ Answer: $ 1 $

---

15. $ \frac{1}{3} \div \frac{5}{9} $

$$
= \frac{1}{3} \times \frac{9}{5} = \frac{9}{15} = \frac{3}{5}
$$

✔ Answer: $ \frac{3}{5} $

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✔ Final Answers:

| Problem | Answer |
|--------|---------------|
| 1 | $ \frac{3}{2} $ |
| 2 | $ 2 $ |
| 3 | $ \frac{18}{35} $ |
| 4 | $ \frac{4}{3} $ |
| 5 | $ \frac{1}{3} $ |
| 6 | $ \frac{1}{2} $ |
| 7 | $ \frac{9}{10} $ |
| 8 | $ 1 $ |
| 9 | $ \frac{2}{3} $ |
| 10 | $ \frac{4}{3} $ |
| 11 | $ \frac{20}{27} $ |
| 12 | $ 3 $ |
| 13 | $ \frac{4}{27} $ |
| 14 | $ 1 $ |
| 15 | $ \frac{3}{5} $ |

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Tip: Always simplify fractions before multiplying and reduce the final answer if possible.

Let me know if you'd like this in printable format or with steps explained further!