Fraction multiplication worksheet for practice.

Let’s solve each fraction multiplication problem step by step. Remember: when multiplying fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if needed.

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1. $\frac{1}{5} \times \frac{4}{9}$
Multiply numerators: $1 \times 4 = 4$
Multiply denominators: $5 \times 9 = 45$
Answer: $\frac{4}{45}$ → already simplified

2. $\frac{1}{3} \times \frac{3}{8}$
Numerators: $1 \times 3 = 3$
Denominators: $3 \times 8 = 24$
$\frac{3}{24}$ → simplify by dividing top and bottom by 3 → $\frac{1}{8}$

3. $\frac{1}{4} \times \frac{3}{8}$
Numerators: $1 \times 3 = 3$
Denominators: $4 \times 8 = 32$
Answer: $\frac{3}{32}$ → already simplified

4. $\frac{1}{3} \times \frac{2}{7}$
Numerators: $1 \times 2 = 2$
Denominators: $3 \times 7 = 21$
Answer: $\frac{2}{21}$ → already simplified

5. $\frac{1}{4} \times \frac{4}{6}$
Numerators: $1 \times 4 = 4$
Denominators: $4 \times 6 = 24$
$\frac{4}{24}$ → simplify by dividing by 4 → $\frac{1}{6}$

6. $\frac{5}{9} \times \frac{4}{9}$
Numerators: $5 \times 4 = 20$
Denominators: $9 \times 9 = 81$
Answer: $\frac{20}{81}$ → already simplified

7. $\frac{1}{3} \times \frac{2}{5}$
Numerators: $1 \times 2 = 2$
Denominators: $3 \times 5 = 15$
Answer: $\frac{2}{15}$ → already simplified

8. $\frac{2}{5} \times \frac{1}{5}$
Numerators: $2 \times 1 = 2$
Denominators: $5 \times 5 = 25$
Answer: $\frac{2}{25}$ → already simplified

9. $\frac{2}{4} \times \frac{2}{4}$
First, note that $\frac{2}{4} = \frac{1}{2}$, but let’s multiply as is:
Numerators: $2 \times 2 = 4$
Denominators: $4 \times 4 = 16$
$\frac{4}{16}$ → simplify by dividing by 4 → $\frac{1}{4}$

10. $\frac{1}{4} \times \frac{5}{7}$
Numerators: $1 \times 5 = 5$
Denominators: $4 \times 7 = 28$
Answer: $\frac{5}{28}$ → already simplified

11. $\frac{2}{4} \times \frac{2}{3}$
Simplify $\frac{2}{4}$ to $\frac{1}{2}$ first? Or multiply directly:
Numerators: $2 \times 2 = 4$
Denominators: $4 \times 3 = 12$
$\frac{4}{12}$ → simplify by dividing by 4 → $\frac{1}{3}$

12. $\frac{2}{9} \times \frac{2}{5}$
Numerators: $2 \times 2 = 4$
Denominators: $9 \times 5 = 45$
Answer: $\frac{4}{45}$ → already simplified

13. $\frac{1}{5} \times \frac{1}{2}$
Numerators: $1 \times 1 = 1$
Denominators: $5 \times 2 = 10$
Answer: $\frac{1}{10}$ → already simplified

14. $\frac{1}{3} \times \frac{2}{3}$
Numerators: $1 \times 2 = 2$
Denominators: $3 \times 3 = 9$
Answer: $\frac{2}{9}$ → already simplified

15. $\frac{5}{8} \times \frac{2}{8}$
Numerators: $5 \times 2 = 10$
Denominators: $8 \times 8 = 64$
$\frac{10}{64}$ → simplify by dividing by 2 → $\frac{5}{32}$

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Final Answer:
1. $\frac{4}{45}$
2. $\frac{1}{8}$
3. $\frac{3}{32}$
4. $\frac{2}{21}$
5. $\frac{1}{6}$
6. $\frac{20}{81}$
7. $\frac{2}{15}$
8. $\frac{2}{25}$
9. $\frac{1}{4}$
10. $\frac{5}{28}$
11. $\frac{1}{3}$
12. $\frac{4}{45}$
13. $\frac{1}{10}$
14. $\frac{2}{9}$
15. $\frac{5}{32}$