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Multiplying Two Proper Fractions with No Simplifying (Fillable) (A) - Free Printable

Multiplying Two Proper Fractions with No Simplifying (Fillable) (A)

Educational worksheet: Multiplying Two Proper Fractions with No Simplifying (Fillable) (A). Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying Two Proper Fractions with No Simplifying (Fillable) (A)
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.
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