Math worksheet for practicing multiplication of fractions with the same denominators.

To solve these problems, we follow two main steps:
1. Multiply straight across: Multiply the top numbers (numerators) together and the bottom numbers (denominators) together.
2. Simplify: Reduce the fraction to its lowest terms by dividing both the top and bottom by their greatest common factor.

Here is the step-by-step solution for each problem:

1. $\frac{1}{3} \times \frac{2}{3}$
* Multiply tops: $1 \times 2 = 2$
* Multiply bottoms: $3 \times 3 = 9$
* Result: $\frac{2}{9}$ (Cannot be simplified)

2. $\frac{7}{8} \times \frac{2}{8}$
* Multiply tops: $7 \times 2 = 14$
* Multiply bottoms: $8 \times 8 = 64$
* Result: $\frac{14}{64}$
* Simplify: Both are even, so divide by 2. $14 \div 2 = 7$, $64 \div 2 = 32$.
* Final: $\frac{7}{32}$

3. $\frac{2}{3} \times \frac{2}{3}$
* Multiply tops: $2 \times 2 = 4$
* Multiply bottoms: $3 \times 3 = 9$
* Result: $\frac{4}{9}$ (Cannot be simplified)

4. $\frac{2}{5} \times \frac{3}{5}$
* Multiply tops: $2 \times 3 = 6$
* Multiply bottoms: $5 \times 5 = 25$
* Result: $\frac{6}{25}$ (Cannot be simplified)

5. $\frac{3}{5} \times \frac{4}{5}$
* Multiply tops: $3 \times 4 = 12$
* Multiply bottoms: $5 \times 5 = 25$
* Result: $\frac{12}{25}$ (Cannot be simplified)

6. $\frac{1}{5} \times \frac{1}{5}$
* Multiply tops: $1 \times 1 = 1$
* Multiply bottoms: $5 \times 5 = 25$
* Result: $\frac{1}{25}$

7. $\frac{1}{4} \times \frac{1}{4}$
* Multiply tops: $1 \times 1 = 1$
* Multiply bottoms: $4 \times 4 = 16$
* Result: $\frac{1}{16}$

8. $\frac{6}{8} \times \frac{6}{8}$
* Multiply tops: $6 \times 6 = 36$
* Multiply bottoms: $8 \times 8 = 64$
* Result: $\frac{36}{64}$
* Simplify: Both are divisible by 4. $36 \div 4 = 9$, $64 \div 4 = 16$.
* Final: $\frac{9}{16}$

9. $\frac{5}{6} \times \frac{3}{6}$
* Multiply tops: $5 \times 3 = 15$
* Multiply bottoms: $6 \times 6 = 36$
* Result: $\frac{15}{36}$
* Simplify: Both are divisible by 3. $15 \div 3 = 5$, $36 \div 3 = 12$.
* Final: $\frac{5}{12}$

10. $\frac{3}{8} \times \frac{5}{8}$
* Multiply tops: $3 \times 5 = 15$
* Multiply bottoms: $8 \times 8 = 64$
* Result: $\frac{15}{64}$ (Cannot be simplified)

11. $\frac{2}{4} \times \frac{3}{4}$
* Multiply tops: $2 \times 3 = 6$
* Multiply bottoms: $4 \times 4 = 16$
* Result: $\frac{6}{16}$
* Simplify: Both are even, divide by 2. $6 \div 2 = 3$, $16 \div 2 = 8$.
* Final: $\frac{3}{8}$

12. $\frac{7}{8} \times \frac{3}{8}$
* Multiply tops: $7 \times 3 = 21$
* Multiply bottoms: $8 \times 8 = 64$
* Result: $\frac{21}{64}$ (Cannot be simplified)

13. $\frac{2}{6} \times \frac{4}{6}$
* Multiply tops: $2 \times 4 = 8$
* Multiply bottoms: $6 \times 6 = 36$
* Result: $\frac{8}{36}$
* Simplify: Both are divisible by 4. $8 \div 4 = 2$, $36 \div 4 = 9$.
* Final: $\frac{2}{9}$

14. $\frac{2}{3} \times \frac{1}{3}$
* Multiply tops: $2 \times 1 = 2$
* Multiply bottoms: $3 \times 3 = 9$
* Result: $\frac{2}{9}$

Final Answer:
1. $\frac{2}{9}$
2. $\frac{7}{32}$
3. $\frac{4}{9}$
4. $\frac{6}{25}$
5. $\frac{12}{25}$
6. $\frac{1}{25}$
7. $\frac{1}{16}$
8. $\frac{9}{16}$
9. $\frac{5}{12}$
10. $\frac{15}{64}$
11. $\frac{3}{8}$
12. $\frac{21}{64}$
13. $\frac{2}{9}$
14. $\frac{2}{9}$