More complex fraction problems | 5th grade Math Worksheet ... - Free Printable

I'll solve the fraction multiplication problems shown in the image. Let me work through each problem step by step.

First, let me look at the example provided at the top:
1/2 × 4/5 = 4/10 (which can be simplified to 2/5)
3/4 × 2/3 = 6/12 (which can be simplified to 1/2)

Now I'll solve each of the problems in the worksheet:

1. 1/4 × 2/3 = (1×2)/(4×3) = 2/12 = 1/6
2. 3/8 × 2/3 = (3×2)/(8×3) = 6/24 = 1/4
3. 2/5 × 3/4 = (2×3)/(5×4) = 6/20 = 3/10

4. 1/4 × 3/5 = (1×3)/(4×5) = 3/20
5. 3/4 × 1/6 = (3×1)/(4×6) = 3/24 = 1/8
6. 3/4 × 2/9 = (3×2)/(4×9) = 6/36 = 1/6

7. 3/5 × 2/3 = (3×2)/(5×3) = 6/15 = 2/5
8. 2/3 × 3/8 = (2×3)/(3×8) = 6/24 = 1/4
9. 2/3 × 1/6 = (2×1)/(3×6) = 2/18 = 1/9

10. 3/4 × 1/3 = (3×1)/(4×3) = 3/12 = 1/4
11. 3/4 × 2/5 = (3×2)/(4×5) = 6/20 = 3/10
12. 1/2 × 3/4 = (1×3)/(2×4) = 3/8

13. 2/3 × 1/4 = (2×1)/(3×4) = 2/12 = 1/6
14. 1/6 × 2/3 = (1×2)/(6×3) = 2/18 = 1/9
15. 3/4 × 2/3 = (3×2)/(4×3) = 6/12 = 1/2

16. 1/3 × 1/2 = (1×1)/(3×2) = 1/6
17. 3/8 × 2/3 = (3×2)/(8×3) = 6/24 = 1/4
18. 3/4 × 2/3 = (3×2)/(4×3) = 6/12 = 1/2

The solutions are:
1/6, 1/4, 3/10, 3/20, 1/8, 1/6, 2/5, 1/4, 1/9, 1/4, 3/10, 3/8, 1/6, 1/9, 1/2, 1/6, 1/4, 1/2