Math worksheet for practicing multiplying fractions by fractions, designed by MathCenter.

Here are the solutions to the multiplication problems. To solve these, you multiply the top numbers (numerators) together and the bottom numbers (denominators) together. Then, simplify the fraction if possible.

Left Column:

1. $\frac{2}{3} \times \frac{1}{4}$
* Multiply tops: $2 \times 1 = 2$
* Multiply bottoms: $3 \times 4 = 12$
* Result: $\frac{2}{12}$ which simplifies to $\frac{1}{6}$

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

3. $\frac{3}{4} \times \frac{1}{5}$
* Multiply tops: $3 \times 1 = 3$
* Multiply bottoms: $4 \times 5 = 20$
* Result: $\frac{3}{20}$

4. $\frac{3}{4} \times \frac{1}{4}$
* Multiply tops: $3 \times 1 = 3$
* Multiply bottoms: $4 \times 4 = 16$
* Result: $\frac{3}{16}$

5. $\frac{4}{9} \times \frac{1}{6}$
* Multiply tops: $4 \times 1 = 4$
* Multiply bottoms: $9 \times 6 = 54$
* Result: $\frac{4}{54}$ which simplifies to $\frac{2}{27}$

6. $\frac{9}{10} \times \frac{1}{5}$
* Multiply tops: $9 \times 1 = 9$
* Multiply bottoms: $10 \times 5 = 50$
* Result: $\frac{9}{50}$

7. $\frac{7}{8} \times \frac{1}{7}$
* Multiply tops: $7 \times 1 = 7$
* Multiply bottoms: $8 \times 7 = 56$
* Result: $\frac{7}{56}$ which simplifies to $\frac{1}{8}$

8. $\frac{10}{11} \times \frac{1}{10}$
* Multiply tops: $10 \times 1 = 10$
* Multiply bottoms: $11 \times 10 = 110$
* Result: $\frac{10}{110}$ which simplifies to $\frac{1}{11}$

Right Column:

9. $\frac{2}{3} \times \frac{3}{4}$
* Multiply tops: $2 \times 3 = 6$
* Multiply bottoms: $3 \times 4 = 12$
* Result: $\frac{6}{12}$ which simplifies to $\frac{1}{2}$

10. $\frac{2}{3} \times \frac{2}{3}$
* Multiply tops: $2 \times 2 = 4$
* Multiply bottoms: $3 \times 3 = 9$
* Result: $\frac{4}{9}$

11. $\frac{3}{4} \times \frac{4}{5}$
* Multiply tops: $3 \times 4 = 12$
* Multiply bottoms: $4 \times 5 = 20$
* Result: $\frac{12}{20}$ which simplifies to $\frac{3}{5}$

12. $\frac{3}{4} \times \frac{3}{4}$
* Multiply tops: $3 \times 3 = 9$
* Multiply bottoms: $4 \times 4 = 16$
* Result: $\frac{9}{16}$

13. $\frac{4}{9} \times \frac{5}{6}$
* Multiply tops: $4 \times 5 = 20$
* Multiply bottoms: $9 \times 6 = 54$
* Result: $\frac{20}{54}$ which simplifies to $\frac{10}{27}$

14. $\frac{9}{10} \times \frac{3}{5}$
* Multiply tops: $9 \times 3 = 27$
* Multiply bottoms: $10 \times 5 = 50$
* Result: $\frac{27}{50}$

15. $\frac{7}{8} \times \frac{2}{7}$
* Multiply tops: $7 \times 2 = 14$
* Multiply bottoms: $8 \times 7 = 56$
* Result: $\frac{14}{56}$ which simplifies to $\frac{1}{4}$

16. $\frac{10}{11} \times \frac{3}{10}$
* Multiply tops: $10 \times 3 = 30$
* Multiply bottoms: $11 \times 10 = 110$
* Result: $\frac{30}{110}$ which simplifies to $\frac{3}{11}$

Final Answer:
Left Column:
1. $\frac{1}{6}$
2. $\frac{2}{9}$
3. $\frac{3}{20}$
4. $\frac{3}{16}$
5. $\frac{2}{27}$
6. $\frac{9}{50}$
7. $\frac{1}{8}$
8. $\frac{1}{11}$

Right Column:
9. $\frac{1}{2}$
10. $\frac{4}{9}$
11. $\frac{3}{5}$
12. $\frac{9}{16}$
13. $\frac{10}{27}$
14. $\frac{27}{50}$
15. $\frac{1}{4}$
16. $\frac{3}{11}$