Here are the solutions for the fraction multiplication problems. To solve these, you multiply the top numbers (numerators) together and the bottom numbers (denominators) together. Then, simplify the answer if possible.
1. $\frac{1}{3} \times \frac{1}{3}$
* Multiply tops: $1 \times 1 = 1$
* Multiply bottoms: $3 \times 3 = 9$
* Answer:
$\frac{1}{9}$
2. $\frac{3}{4} \times \frac{3}{4}$
* Multiply tops: $3 \times 3 = 9$
* Multiply bottoms: $4 \times 4 = 16$
* Answer:
$\frac{9}{16}$
3. $\frac{5}{6} \times \frac{1}{6}$
* Multiply tops: $5 \times 1 = 5$
* Multiply bottoms: $6 \times 6 = 36$
* Answer:
$\frac{5}{36}$
4. $\frac{3}{5} \times \frac{3}{5}$
* Multiply tops: $3 \times 3 = 9$
* Multiply bottoms: $5 \times 5 = 25$
* Answer:
$\frac{9}{25}$
5. $\frac{4}{5} \times \frac{4}{5}$
* Multiply tops: $4 \times 4 = 16$
* Multiply bottoms: $5 \times 5 = 25$
* Answer:
$\frac{16}{25}$
6. $\frac{3}{6} \times \frac{5}{6}$
* Multiply tops: $3 \times 5 = 15$
* Multiply bottoms: $6 \times 6 = 36$
* Result: $\frac{15}{36}$
* Simplify: Both numbers can be divided by 3. ($15 \div 3 = 5$ and $36 \div 3 = 12$)
* Answer:
$\frac{5}{12}$
7. $\frac{1}{8} \times \frac{3}{8}$
* Multiply tops: $1 \times 3 = 3$
* Multiply bottoms: $8 \times 8 = 64$
* Answer:
$\frac{3}{64}$
8. $\frac{2}{5} \times \frac{4}{5}$
* Multiply tops: $2 \times 4 = 8$
* Multiply bottoms: $5 \times 5 = 25$
* Answer:
$\frac{8}{25}$
9. $\frac{2}{5} \times \frac{2}{5}$
* Multiply tops: $2 \times 2 = 4$
* Multiply bottoms: $5 \times 5 = 25$
* Answer:
$\frac{4}{25}$
10. $\frac{3}{6} \times \frac{2}{6}$
* Multiply tops: $3 \times 2 = 6$
* Multiply bottoms: $6 \times 6 = 36$
* Result: $\frac{6}{36}$
* Simplify: Both numbers can be divided by 6. ($6 \div 6 = 1$ and $36 \div 6 = 6$)
* Answer:
$\frac{1}{6}$
11. $\frac{1}{5} \times \frac{3}{5}$
* Multiply tops: $1 \times 3 = 3$
* Multiply bottoms: $5 \times 5 = 25$
* Answer:
$\frac{3}{25}$
12. $\frac{1}{6} \times \frac{4}{6}$
* Multiply tops: $1 \times 4 = 4$
* Multiply bottoms: $6 \times 6 = 36$
* Result: $\frac{4}{36}$
* Simplify: Both numbers can be divided by 4. ($4 \div 4 = 1$ and $36 \div 4 = 9$)
* Answer:
$\frac{1}{9}$
13. $\frac{3}{5} \times \frac{1}{5}$
* Multiply tops: $3 \times 1 = 3$
* Multiply bottoms: $5 \times 5 = 25$
* Answer:
$\frac{3}{25}$
14. $\frac{2}{3} \times \frac{2}{3}$
* Multiply tops: $2 \times 2 = 4$
* Multiply bottoms: $3 \times 3 = 9$
* Answer:
$\frac{4}{9}$
Final Answer:
1. $\frac{1}{9}$
2. $\frac{9}{16}$
3. $\frac{5}{36}$
4. $\frac{9}{25}$
5. $\frac{16}{25}$
6. $\frac{5}{12}$
7. $\frac{3}{64}$
8. $\frac{8}{25}$
9. $\frac{4}{25}$
10. $\frac{1}{6}$
11. $\frac{3}{25}$
12. $\frac{1}{9}$
13. $\frac{3}{25}$
14. $\frac{4}{9}$
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheets with answers.