Math worksheet for practicing fraction division with 15 problems.

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

> To divide fractions, multiply by the reciprocal of the divisor.

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

We'll apply this rule to each problem.

---

1. $\frac{1}{6} \div \frac{5}{9}$

$$
= \frac{1}{6} \times \frac{9}{5} = \frac{9}{30} = \frac{3}{10}
$$

✔ Answer: $\frac{3}{10}$

---

2. $\frac{3}{5} \div \frac{8}{9}$

$$
= \frac{3}{5} \times \frac{9}{8} = \frac{27}{40}
$$

✔ Answer: $\frac{27}{40}$

---

3. $\frac{5}{6} \div \frac{7}{8}$

$$
= \frac{5}{6} \times \frac{8}{7} = \frac{40}{42} = \frac{20}{21}
$$

✔ Answer: $\frac{20}{21}$

---

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

$$
= \frac{7}{9} \times \frac{3}{2} = \frac{21}{18} = \frac{7}{6} = 1\frac{1}{6}
$$

✔ Answer: $\frac{7}{6}$ or $1\frac{1}{6}$

---

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

First simplify $\frac{2}{4} = \frac{1}{2}$

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

✔ Answer: $1$

---

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

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

✔ Answer: $3$

---

7. $\frac{3}{4} \div \frac{1}{8}$

$$
= \frac{3}{4} \times \frac{8}{1} = \frac{24}{4} = 6
$$

✔ Answer: $6$

---

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

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

✔ Answer: $2$

---

9. $\frac{5}{9} \div \frac{1}{2}$

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

✔ Answer: $\frac{10}{9}$ or $1\frac{1}{9}$

---

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

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

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

✔ Answer: $2$

---

11. $\frac{4}{5} \div \frac{2}{8}$

Simplify $\frac{2}{8} = \frac{1}{4}$

$$
= \frac{4}{5} \div \frac{1}{4} = \frac{4}{5} \times \frac{4}{1} = \frac{16}{5} = 3\frac{1}{5}
$$

✔ Answer: $\frac{16}{5}$ or $3\frac{1}{5}$

---

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

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

✔ Answer: $1$

---

13. $\frac{3}{5} \div \frac{3}{6}$

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

$$
= \frac{3}{5} \div \frac{1}{2} = \frac{3}{5} \times \frac{2}{1} = \frac{6}{5} = 1\frac{1}{5}
$$

✔ Answer: $\frac{6}{5}$ or $1\frac{1}{5}$

---

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

$$
= \frac{2}{3} \times \frac{5}{3} = \frac{10}{9} = 1\frac{1}{9}
$$

✔ Answer: $\frac{10}{9}$ or $1\frac{1}{9}$

---

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

Simplify both: $\frac{2}{6} = \frac{1}{3}$, $\frac{3}{6} = \frac{1}{2}$

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

✔ Answer: $\frac{2}{3}$

---

✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | $\frac{3}{10}$ |
| 2 | $\frac{27}{40}$ |
| 3 | $\frac{20}{21}$ |
| 4 | $\frac{7}{6}$ or $1\frac{1}{6}$ |
| 5 | $1$ |
| 6 | $3$ |
| 7 | $6$ |
| 8 | $2$ |
| 9 | $\frac{10}{9}$ or $1\frac{1}{9}$ |
| 10 | $2$ |
| 11 | $\frac{16}{5}$ or $3\frac{1}{5}$ |
| 12 | $1$ |
| 13 | $\frac{6}{5}$ or $1\frac{1}{5}$ |
| 14 | $\frac{10}{9}$ or $1\frac{1}{9}$ |
| 15 | $\frac{2}{3}$ |

Let me know if you'd like this as a printable answer sheet!