Printable worksheet for practicing division of fractions by fractions.

Let’s solve each problem step by step. Remember: to divide fractions, you multiply by the reciprocal of the second fraction.

That means:
> \( \frac{a}{b} \frac{c}{d} = \frac{a}{b} × \frac{d}{c} \)

Then simplify if possible.

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Problem 1: \( \frac{4}{3} ÷ \frac{9}{5} \)
→ Multiply by reciprocal: \( \frac{4}{3} × \frac{5}{9} = \frac{20}{27} \)
✔ Already simplified.

Problem 2: \( \frac{7}{2} ÷ \frac{17}{16} \)
→ \( \frac{7}{2} × \frac{16}{17} = \frac{112}{34} \)
Simplify: divide numerator and denominator by 2 → \( \frac{56}{17} \)
✔ Can also write as mixed number: \( 3 \frac{5}{17} \), but we’ll keep improper unless asked.

Problem 3: \( \frac{20}{9} ÷ \frac{8}{24} \)
First, simplify \( \frac{8}{24} = \frac{1}{3} \)
So: \( \frac{20}{9} \frac{1}{3} = \frac{20}{9} × \frac{3}{1} = \frac{60}{9} \)
Simplify: divide by 3 → \( \frac{20}{3} \)

Problem 4: \( \frac{1}{4} ÷ \frac{7}{9} \)
→ \( \frac{1}{4} × \frac{9}{7} = \frac{9}{28} \)
✔ Simplified.

Problem 5: \( \frac{6}{5} ÷ \frac{3}{8} \)
→ \( \frac{6}{5} × \frac{8}{3} = \frac{48}{15} \)
Simplify: divide by 3 → \( \frac{16}{5} \)

Problem 6: \( \frac{1}{3} ÷ \frac{20}{9} \)
→ \( \frac{1}{3} × \frac{9}{20} = \frac{9}{60} \)
Simplify: divide by 3 → \( \frac{3}{20} \)

Problem 7: \( \frac{11}{10} ÷ \frac{2}{7} \)
→ \( \frac{11}{10} × \frac{7}{2} = \frac{77}{20} \)
✔ Simplified.

Problem 8: \( \frac{4}{15} ÷ \frac{11}{5} \)
→ \( \frac{4}{15} × \frac{5}{11} = \frac{20}{165} \)
Simplify: divide by 5 → \( \frac{4}{33} \)

Problem 9: \( \frac{18}{22} ÷ \frac{3}{7} \)
First, simplify \( \frac{18}{22} = \frac{9}{11} \)
→ \( \frac{9}{11} × \frac{7}{3} = \frac{63}{33} \)
Simplify: divide by 3 → \( \frac{21}{11} \)

Problem 10: \( \frac{10}{6} ÷ \frac{9}{12} \)
Simplify both first:
\( \frac{10}{6} = \frac{5}{3} \), \( \frac{9}{12} = \frac{3}{4} \)
→ \( \frac{5}{3} ÷ \frac{3}{4} = \frac{5}{3} × \frac{4}{3} = \frac{20}{9} \)

Problem 11: \( \frac{2}{3} \frac{8}{20} \)
Simplify \( \frac{8}{20} = \frac{2}{5} \)
→ \( \frac{2}{3} ÷ \frac{2}{5} = \frac{2}{3} × \frac{5}{2} = \frac{10}{6} \)
Simplify: divide by 2 → \( \frac{5}{3} \)

Problem 12: \( \frac{5}{6} ÷ \frac{10}{12} \)
Simplify \( \frac{10}{12} = \frac{5}{6} \)
→ \( \frac{5}{6} ÷ \frac{5}{6} = \frac{5}{6} × \frac{6}{5} = \frac{30}{30} = 1 \)

Problem 13: \( \frac{6}{10} \frac{3}{7} \)
Simplify \( \frac{6}{10} = \frac{3}{5} \)
→ \( \frac{3}{5} × \frac{7}{3} = \frac{21}{15} \)
Simplify: divide by 3 → \( \frac{7}{5} \)

Problem 14: \( \frac{22}{5} ÷ \frac{8}{14} \)
Simplify \( \frac{8}{14} = \frac{4}{7} \)
→ \( \frac{22}{5} × \frac{7}{4} = \frac{154}{20} \)
Simplify: divide by 2 → \( \frac{77}{10} \)

Problem 15: \( \frac{7}{5} \frac{21}{9} \)
Simplify \( \frac{21}{9} = \frac{7}{3} \)
→ \( \frac{7}{5} × \frac{3}{7} = \frac{21}{35} \)
Simplify: divide by 7 → \( \frac{3}{5} \)

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Final Answer:

1. \( \frac{20}{27} \)
2. \( \frac{56}{17} \)
3. \( \frac{20}{3} \)
4. \( \frac{9}{28} \)
5. \( \frac{16}{5} \)
6. \( \frac{3}{20} \)
7. \( \frac{77}{20} \)
8. \( \frac{4}{33} \)
9. \( \frac{21}{11} \)
10. \( \frac{20}{9} \)
11. \( \frac{5}{3} \)
12. \( 1 \)
13. \( \frac{7}{5} \)
14. \( \frac{77}{10} \)
15. \( \frac{3}{5} \)