Multiply Fractions With Common Denominators Worksheets - Free Printable

Let’s solve each 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 — but since all these problems have the same denominator in both fractions, we’ll just multiply straight across and reduce to lowest terms.

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Problem 1:
$\frac{2}{4} \times \frac{3}{4}$
Multiply numerators: $2 \times 3 = 6$
Multiply denominators: $4 \times 4 = 16$
So, $\frac{6}{16}$ → Simplify by dividing numerator and denominator by 2 → $\frac{3}{8}$

Problem 2:
$\frac{2}{5} \times \frac{2}{5}$
Numerators: $2 \times 2 = 4$
Denominators: $5 \times 5 = 25$
Answer: $\frac{4}{25}$ (already simplified)

Problem 3:
$\frac{1}{3} \times \frac{2}{3}$
Numerators: $1 \times 2 = 2$
Denominators: $3 \times 3 = 9$
Answer: $\frac{2}{9}$

Problem 4:
$\frac{3}{6} \times \frac{3}{6}$
First, note that $\frac{3}{6} = \frac{1}{2}$, but let’s do it as is:
Numerators: $3 \times 3 = 9$
Denominators: $6 \times 6 = 36$
$\frac{9}{36}$ → Divide top and bottom by 9 → $\frac{1}{4}$

Alternatively, simplify first: $\frac{3}{6} = \frac{1}{2}$, so $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$ — same answer!

Problem 5:
$\frac{7}{8} \times \frac{2}{8}$
Numerators: $7 \times 2 = 14$
Denominators: $8 \times 8 = 64$
$\frac{14}{64}$ → Divide by 2 → $\frac{7}{32}$

Problem 6:
$\frac{5}{8} \times \frac{7}{8}$
Numerators: $5 \times 7 = 35$
Denominators: $8 \times 8 = 64$
Answer: $\frac{35}{64}$ (can’t simplify — 35 and 64 share no common factors)

Problem 7:
$\frac{1}{5} \times \frac{3}{5}$
Numerators: $1 \times 3 = 3$
Denominators: $5 \times 5 = 25$
Answer: $\frac{3}{25}$

Problem 8:
$\frac{4}{5} \times \frac{1}{5}$
Numerators: $4 \times 1 = 4$
Denominators: $5 \times 5 = 25$
Answer: $\frac{4}{25}$

Problem 9:
$\frac{2}{3} \times \frac{1}{3}$
Numerators: $2 \times 1 = 2$
Denominators: $3 \times 3 = 9$
Answer: $\frac{2}{9}$

Problem 10:
$\frac{2}{8} \times \frac{5}{8}$
Numerators: $2 \times 5 = 10$
Denominators: $8 \times 8 = 64$
$\frac{10}{64}$ → Divide by 2 → $\frac{5}{32}$

Problem 11:
$\frac{4}{5} \times \frac{4}{5}$
Numerators: $4 \times 4 = 16$
Denominators: $5 \times 5 = 25$
Answer: $\frac{16}{25}$

Problem 12:
$\frac{3}{6} \times \frac{2}{6}$
Simplify first? $\frac{3}{6} = \frac{1}{2}$, $\frac{2}{6} = \frac{1}{3}$ → $\frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$
Or directly:
Numerators: $3 \times 2 = 6$
Denominators: $6 \times 6 = 36$
$\frac{6}{36} = \frac{1}{6}$

Problem 13:
$\frac{1}{6} \times \frac{1}{6}$
Numerators: $1 \times 1 = 1$
Denominators: $6 \times 6 = 36$
Answer: $\frac{1}{36}$

Problem 14:
$\frac{5}{6} \times \frac{3}{6}$
Numerators: $5 \times 3 = 15$
Denominators: $6 \times 6 = 36$
$\frac{15}{36}$ → Divide by 3 → $\frac{5}{12}$

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Final Answer:

1. $\frac{3}{8}$
2. $\frac{4}{25}$
3. $\frac{2}{9}$
4. $\frac{1}{4}$
5. $\frac{7}{32}$
6. $\frac{35}{64}$
7. $\frac{3}{25}$
8. $\frac{4}{25}$
9. $\frac{2}{9}$
10. $\frac{5}{32}$
11. $\frac{16}{25}$
12. $\frac{1}{6}$
13. $\frac{1}{36}$
14. $\frac{5}{12}$