Multiplication of fractions practice worksheet with 18 problems.

Explanation:
We are multiplying fractions. To multiply two fractions:
1. Multiply the numerators (top numbers) together.
2. Multiply the denominators (bottom numbers) together.
3. Simplify the result if possible (reduce the fraction).

Let’s go one by one:

1. $ \frac{4}{5} \times \frac{4}{5} = \frac{4 \times 4}{5 \times 5} = \frac{16}{25} $ — already simplified.

2. $ \frac{3}{4} \times \frac{1}{4} = \frac{3 \times 1}{4 \times 4} = \frac{3}{16} $

3. $ \frac{3}{8} \times \frac{2}{8} = \frac{6}{64} $. Simplify: divide numerator and denominator by 2 → $ \frac{3}{32} $

4. $ \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} $

5. $ \frac{1}{3} \times \frac{1}{3} = \frac{1}{9} $

6. $ \frac{5}{6} \times \frac{5}{6} = \frac{25}{36} $

7. $ \frac{2}{4} \times \frac{1}{4} = \frac{2}{16} = \frac{1}{8} $ (simplify by dividing top and bottom by 2)

8. $ \frac{5}{8} \times \frac{6}{8} = \frac{30}{64} $. Simplify: divide by 2 → $ \frac{15}{32} $

9. $ \frac{2}{5} \times \frac{2}{5} = \frac{4}{25} $

10. $ \frac{2}{6} \times \frac{4}{6} = \frac{8}{36} $. Simplify: divide by 4 → $ \frac{2}{9} $

11. $ \frac{3}{5} \times \frac{3}{5} = \frac{9}{25} $

12. $ \frac{4}{8} \times \frac{3}{8} = \frac{12}{64} $. Simplify: divide by 4 → $ \frac{3}{16} $

13. $ \frac{3}{4} \times \frac{3}{4} = \frac{9}{16} $

14. $ \frac{4}{6} \times \frac{3}{6} = \frac{12}{36} = \frac{1}{3} $ (divide by 12)

15. $ \frac{2}{8} \times \frac{7}{8} = \frac{14}{64} $. Simplify: divide by 2 → $ \frac{7}{32} $

16. $ \frac{2}{4} \times \frac{3}{4} = \frac{6}{16} = \frac{3}{8} $ (divide by 2)

17. $ \frac{2}{3} \times \frac{1}{3} = \frac{2}{9} $

18. $ \frac{3}{5} \times \frac{2}{5} = \frac{6}{25} $

Let me double-check each for errors:

- #3: 3×2=6, 8×8=64 → 6/64 = 3/32 ✔
- #7: 2/4 = 1/2, but better to multiply first: 2×1=2, 4×4=16 → 2/16 = 1/8 ✔
- #8: 5×6=30, 8×8=64 → 30/64 = 15/32 ✔
- #10: 2×4=8, 6×6=36 → 8/36 = 2/9 ✔
- #12: 4×3=12, 8×8=64 → 12/64 = 3/16 ✔
- #14: 4×3=12, 6×6=36 → 12/36 = 1/3 ✔
- #15: 2×7=14, 8×8=64 → 14/64 = 7/32 ✔
- #16: 2×3=6, 4×4=16 → 6/16 = 3/8 ✔

All correct.

Final Answer:
1. 16/25
2. 3/16
3. 3/32
4. 1/36
5. 1/9
6. 25/36
7. 1/8
8. 15/32
9. 4/25
10. 2/9
11. 9/25
12. 3/16
13. 9/16
14. 1/3
15. 7/32
16. 3/8
17. 2/9
18. 6/25