Multiplying Fractions Practice Worksheet

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

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1)
$\frac{3}{10} \times \frac{2}{3}$
Multiply numerators: $3 \times 2 = 6$
Multiply denominators: $10 \times 3 = 30$
So we get $\frac{6}{30}$ → Simplify by dividing numerator and denominator by 6 → $\frac{1}{5}$

✔ Final Answer for #1: $\frac{1}{5}$

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2)
$\frac{2}{4} \times \frac{1}{2}$
Numerators: $2 \times 1 = 2$
Denominators: $4 \times 2 = 8$
→ $\frac{2}{8}$ → Simplify by dividing by 2 → $\frac{1}{4}$

✔ Final Answer for #2: $\frac{1}{4}$

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3)
$\frac{3}{10} \times \frac{2}{4}$
Numerators: $3 \times 2 = 6$
Denominators: $10 \times 4 = 40$
→ $\frac{6}{40}$ → Divide by 2 → $\frac{3}{20}$

✔ Final Answer for #3: $\frac{3}{20}$

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4)
$\frac{2}{5} \times \frac{2}{10}$
Numerators: $2 \times 2 = 4$
Denominators: $5 \times 10 = 50$
→ $\frac{4}{50}$ → Divide by 2 → $\frac{2}{25}$

✔ Final Answer for #4: $\frac{2}{25}$

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5)
$\frac{2}{4} \times \frac{2}{3}$
Numerators: $2 \times 2 = 4$
Denominators: $4 \times 3 = 12$
→ $\frac{4}{12}$ → Divide by 4 → $\frac{1}{3}$

✔ Final Answer for #5: $\frac{1}{3}$

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6)
$\frac{1}{2} \times \frac{1}{4}$
Numerators: $1 \times 1 = 1$
Denominators: $2 \times 4 = 8$
→ $\frac{1}{8}$ (already simplified)

✔ Final Answer for #6: $\frac{1}{8}$

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7)
$\frac{1}{2} \times \frac{3}{5}$
Numerators: $1 \times 3 = 3$
Denominators: $2 \times 5 = 10$
→ $\frac{3}{10}$ (already simplified)

✔ Final Answer for #7: $\frac{3}{10}$

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8)
$\frac{7}{10} \times \frac{2}{5}$
Numerators: $7 \times 2 = 14$
Denominators: $10 \times 5 = 50$
→ $\frac{14}{50}$ → Divide by 2 → $\frac{7}{25}$

✔ Final Answer for #8: $\frac{7}{25}$

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9)
$\frac{2}{3} \times \frac{1}{2}$
Numerators: $2 \times 1 = 2$
Denominators: $3 \times 2 = 6$
→ $\frac{2}{6}$ → Divide by 2 → $\frac{1}{3}$

✔ Final Answer for #9: $\frac{1}{3}$

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10)
$\frac{2}{3} \times \frac{1}{10}$
Numerators: $2 \times 1 = 2$
Denominators: $3 \times 10 = 30$
→ $\frac{2}{30}$ → Divide by 2 → $\frac{1}{15}$

✔ Final Answer for #10: $\frac{1}{15}$

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Final Answer:
1) $\frac{1}{5}$
2) $\frac{1}{4}$
3) $\frac{3}{20}$
4) $\frac{2}{25}$
5) $\frac{1}{3}$
6) $\frac{1}{8}$
7) $\frac{3}{10}$
8) $\frac{7}{25}$
9) $\frac{1}{3}$
10) $\frac{1}{15}$