Free educational worksheet for dividing fractions, including step-by-step instructions and practice problems.

Let's solve each of the fraction division problems step by step, following the rules provided:

Rules to divide fractions:

1. Leave the first fraction as it is.
2. Change the division sign (÷) to multiplication (×).
3. Flip the second fraction (find its reciprocal).
4. Multiply the two fractions.
5. Simplify the result if possible.

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We’ll go through each problem one by one.

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Left Column:

1. $\frac{5}{6} \div \frac{1}{2}$
→ $\frac{5}{6} \times \frac{2}{1} = \frac{10}{6} = \frac{5}{3}$
✔ Answer: $\frac{5}{3}$

2. $\frac{5}{5} \div \frac{6}{8}$
→ $\frac{5}{5} = 1$, so $1 \div \frac{6}{8} = 1 \times \frac{8}{6} = \frac{8}{6} = \frac{4}{3}$
✔ Answer: $\frac{4}{3}$

3. $\frac{4}{4} \div \frac{1}{2}$
→ $\frac{4}{4} = 1$, so $1 \div \frac{1}{2} = 1 \times \frac{2}{1} = 2$
✔ Answer: $2$

4. $\frac{1}{4} \div \frac{1}{3}$
→ $\frac{1}{4} \times \frac{3}{1} = \frac{3}{4}$
✔ Answer: $\frac{3}{4}$

5. $\frac{2}{3} \div \frac{4}{5}$
→ $\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$
✔ Answer: $\frac{5}{6}$

6. $\frac{1}{4} \div \frac{2}{7}$
→ $\frac{1}{4} \times \frac{7}{2} = \frac{7}{8}$
✔ Answer: $\frac{7}{8}$

7. $\frac{1}{4} \div \frac{1}{4}$
→ $\frac{1}{4} \times \frac{4}{1} = \frac{4}{4} = 1$
✔ Answer: $1$

8. $\frac{5}{7} \div \frac{3}{5}$
→ $\frac{5}{7} \times \frac{5}{3} = \frac{25}{21}$
✔ Answer: $\frac{25}{21}$

9. $\frac{1}{7} \div \frac{5}{7}$
→ $\frac{1}{7} \times \frac{7}{5} = \frac{7}{35} = \frac{1}{5}$
✔ Answer: $\frac{1}{5}$

10. $\frac{1}{6} \div \frac{4}{8}$
→ $\frac{4}{8} = \frac{1}{2}$, so $\frac{1}{6} \div \frac{1}{2} = \frac{1}{6} \times \frac{2}{1} = \frac{2}{6} = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$

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Right Column:

11. $\frac{4}{4} \div \frac{3}{8}$
→ $\frac{4}{4} = 1$, so $1 \div \frac{3}{8} = 1 \times \frac{8}{3} = \frac{8}{3}$
✔ Answer: $\frac{8}{3}$

12. $\frac{2}{5} \div \frac{1}{2}$
→ $\frac{2}{5} \times \frac{2}{1} = \frac{4}{5}$
✔ Answer: $\frac{4}{5}$

13. $\frac{1}{2} \div \frac{7}{9}$
→ $\frac{1}{2} \times \frac{9}{7} = \frac{9}{14}$
✔ Answer: $\frac{9}{14}$

14. $\frac{2}{3} \div \frac{2}{3}$
→ $\frac{2}{3} \times \frac{3}{2} = \frac{6}{6} = 1$
✔ Answer: $1$

15. $\frac{4}{9} \div \frac{1}{8}$
→ $\frac{4}{9} \times \frac{8}{1} = \frac{32}{9}$
✔ Answer: $\frac{32}{9}$

16. $\frac{4}{8} \div \frac{4}{5}$
→ $\frac{4}{8} = \frac{1}{2}$, so $\frac{1}{2} \div \frac{4}{5} = \frac{1}{2} \times \frac{5}{4} = \frac{5}{8}$
✔ Answer: $\frac{5}{8}$

17. $\frac{1}{3} \div \frac{4}{4}$
→ $\frac{4}{4} = 1$, so $\frac{1}{3} \div 1 = \frac{1}{3}$
✔ Answer: $\frac{1}{3}$

18. $\frac{5}{8} \div \frac{3}{9}$
→ $\frac{3}{9} = \frac{1}{3}$, so $\frac{5}{8} \div \frac{1}{3} = \frac{5}{8} \times \frac{3}{1} = \frac{15}{8}$
✔ Answer: $\frac{15}{8}$

19. $\frac{4}{4} \div \frac{3}{3}$
→ $\frac{4}{4} = 1$, $\frac{3}{3} = 1$, so $1 \div 1 = 1$
✔ Answer: $1$

20. $\frac{2}{2} \div \frac{1}{6}$
→ $\frac{2}{2} = 1$, so $1 \div \frac{1}{6} = 1 \times \frac{6}{1} = 6$
✔ Answer: $6$

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $\frac{5}{6} \div \frac{1}{2}$ | $\frac{5}{3}$ |
| 2. $\frac{5}{5} \div \frac{6}{8}$ | $\frac{4}{3}$ |
| 3. $\frac{4}{4} \div \frac{1}{2}$ | $2$ |
| 4. $\frac{1}{4} \div \frac{1}{3}$ | $\frac{3}{4}$ |
| 5. $\frac{2}{3} \div \frac{4}{5}$ | $\frac{5}{6}$ |
| 6. $\frac{1}{4} \div \frac{2}{7}$ | $\frac{7}{8}$ |
| 7. $\frac{1}{4} \div \frac{1}{4}$ | $1$ |
| 8. $\frac{5}{7} \div \frac{3}{5}$ | $\frac{25}{21}$ |
| 9. $\frac{1}{7} \div \frac{5}{7}$ | $\frac{1}{5}$ |
| 10. $\frac{1}{6} \div \frac{4}{8}$ | $\frac{1}{3}$ |
| 11. $\frac{4}{4} \div \frac{3}{8}$ | $\frac{8}{3}$ |
| 12. $\frac{2}{5} \div \frac{1}{2}$ | $\frac{4}{5}$ |
| 13. $\frac{1}{2} \div \frac{7}{9}$ | $\frac{9}{14}$ |
| 14. $\frac{2}{3} \div \frac{2}{3}$ | $1$ |
| 15. $\frac{4}{9} \div \frac{1}{8}$ | $\frac{32}{9}$ |
| 16. $\frac{4}{8} \div \frac{4}{5}$ | $\frac{5}{8}$ |
| 17. $\frac{1}{3} \div \frac{4}{4}$ | $\frac{1}{3}$ |
| 18. $\frac{5}{8} \div \frac{3}{9}$ | $\frac{15}{8}$ |
| 19. $\frac{4}{4} \div \frac{3}{3}$ | $1$ |
| 20. $\frac{2}{2} \div \frac{1}{6}$ | $6$ |

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🔍 Summary:

- The key idea is "Keep, Change, Flip": Keep the first fraction, change ÷ to ×, flip the second fraction.
- Always simplify your final answer.

Let me know if you'd like a printable version or visual explanation!