Dividing Fractions practice worksheet with 12 problems for math education.

Let’s solve each fraction division problem step by step. Remember: to divide fractions, you multiply by the reciprocal of the second fraction. That means flip the second fraction and change ÷ to ×.

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1.
$\frac{2}{10} \div \frac{3}{5}$
→ Flip $\frac{3}{5}$ → $\frac{5}{3}$
→ Multiply: $\frac{2}{10} \times \frac{5}{3} = \frac{2 \cdot 5}{10 \cdot 3} = \frac{10}{30}$
→ Simplify: $\frac{10}{30} = \frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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2.
$\frac{25}{27} \div \frac{4}{3}$
→ Flip $\frac{4}{3}$ → $\frac{3}{4}$
→ Multiply: $\frac{25}{27} \times \frac{3}{4} = \frac{25 \cdot 3}{27 \cdot 4} = \frac{75}{108}$
→ Simplify: Divide numerator and denominator by 3 → $\frac{25}{36}$

✔ Answer: $\frac{25}{36}$

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3.
$\frac{1}{5} \div \frac{3}{2}$
→ Flip $\frac{3}{2}$ → $\frac{2}{3}$
→ Multiply: $\frac{1}{5} \times \frac{2}{3} = \frac{2}{15}$

✔ Answer: $\frac{2}{15}$

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4.
$\frac{1}{2} \div \frac{9}{11}$
→ Flip $\frac{9}{11}$ → $\frac{11}{9}$
→ Multiply: $\frac{1}{2} \times \frac{11}{9} = \frac{11}{18}$

✔ Answer: $\frac{11}{18}$

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5.
$\frac{5}{2} \div \frac{10}{7}$
→ Flip $\frac{10}{7}$ → $\frac{7}{10}$
→ Multiply: $\frac{5}{2} \times \frac{7}{10} = \frac{35}{20}$
→ Simplify: Divide by 5 → $\frac{7}{4}$ or $1\frac{3}{4}$

✔ Answer: $\frac{7}{4}$ (or $1\frac{3}{4}$)

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6.
$\frac{30}{42} \div \frac{5}{6}$
First, simplify $\frac{30}{42}$ → divide top and bottom by 6 → $\frac{5}{7}$
Now: $\frac{5}{7} \div \frac{5}{6}$
→ Flip $\frac{5}{6}$ → $\frac{6}{5}$
→ Multiply: $\frac{5}{7} \times \frac{6}{5} = \frac{30}{35}$
→ Simplify: divide by 5 → $\frac{6}{7}$

✔ Answer: $\frac{6}{7}$

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7.
$\frac{7}{25} \div \frac{13}{25}$
→ Flip $\frac{13}{25}$ → $\frac{25}{13}$
→ Multiply: $\frac{7}{25} \times \frac{25}{13} = \frac{7 \cdot 25}{25 \cdot 13}$
→ Cancel 25s → $\frac{7}{13}$

✔ Answer: $\frac{7}{13}$

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8.
$\frac{20}{125} \div \frac{5}{25}$
Simplify both first:
$\frac{20}{125} = \frac{4}{25}$ (divide by 5)
$\frac{5}{25} = \frac{1}{5}$
Now: $\frac{4}{25} \div \frac{1}{5}$
→ Flip $\frac{1}{5}$ → $\frac{5}{1}$
→ Multiply: $\frac{4}{25} \times \frac{5}{1} = \frac{20}{25}$
→ Simplify: $\frac{4}{5}$

✔ Answer: $\frac{4}{5}$

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9.
$\frac{36}{5} \div \frac{6}{5}$
→ Flip $\frac{6}{5}$ → $\frac{5}{6}$
→ Multiply: $\frac{36}{5} \times \frac{5}{6} = \frac{36 \cdot 5}{5 \cdot 6}$
→ Cancel 5s → $\frac{36}{6} = 6$

✔ Answer: $6$

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10.
$\frac{12}{13} \div \frac{9}{7}$
→ Flip $\frac{9}{7}$ → $\frac{7}{9}$
→ Multiply: $\frac{12}{13} \times \frac{7}{9} = \frac{84}{117}$
→ Simplify: divide by 3 → $\frac{28}{39}$

✔ Answer: $\frac{28}{39}$

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11.
$\frac{75}{19} \div \frac{100}{19}$
→ Flip $\frac{100}{19}$ → $\frac{19}{100}$
→ Multiply: $\frac{75}{19} \times \frac{19}{100} = \frac{75 \cdot 19}{19 \cdot 100}$
→ Cancel 19s → $\frac{75}{100}$
→ Simplify: $\frac{3}{4}$

✔ Answer: $\frac{3}{4}$

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12.
$\frac{100}{60} \div \frac{2}{30}$
Simplify $\frac{100}{60}$ → divide by 20 → $\frac{5}{3}$
Simplify $\frac{2}{30}$ → $\frac{1}{15}$
Now: $\frac{5}{3} \div \frac{1}{15}$
→ Flip $\frac{1}{15}$ → $\frac{15}{1}$
→ Multiply: $\frac{5}{3} \times \frac{15}{1} = \frac{75}{3} = 25$

✔ Answer: $25$

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Final Answer:
1. $\frac{1}{3}$
2. $\frac{25}{36}$
3. $\frac{2}{15}$
4. $\frac{11}{18}$
5. $\frac{7}{4}$
6. $\frac{6}{7}$
7. $\frac{7}{13}$
8. $\frac{4}{5}$
9. $6$
10. $\frac{28}{39}$
11. $\frac{3}{4}$
12. $25$