Sure! Let’s solve this multiplication worksheet step by step. The task is to
find the product of each pair of fractions — that means multiply them together.
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📌 How to Multiply Fractions:
To multiply two fractions:
1. Multiply the
numerators (top numbers) → this becomes the new numerator.
2. Multiply the
denominators (bottom numbers) → this becomes the new denominator.
3.
Simplify the resulting fraction if possible (reduce to lowest terms).
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Let’s go problem by problem:
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1. ½ × ⅗
= (1×3)/(2×5) = 3/10
✔
2. ⅞ × ²⁄₈
= (7×2)/(8×8) = 14/64 → simplify: divide numerator and denominator by 2 →
7/32
3. ⅗ × ⁴⁄₅
= (3×4)/(5×5) = 12/25
✔
4. ⁶⁄₈ × ³⁄₈
= (6×3)/(8×8) = 18/64 → simplify: ÷2 →
9/32
5. ⅓ × ²⁄₃
= (1×2)/(3×3) = 2/9
✔
6. ⁷⁄₈ × ⁴⁄₈
= (7×4)/(8×8) = 28/64 → simplify: ÷4 →
7/16
7. ³⁄₆ × ⁴⁄₆
= (3×4)/(6×6) = 12/36 → simplify: ÷12 →
1/3
8. ²⁄₆ × ²⁄₆
= (2×2)/(6×6) = 4/36 → simplify: ÷4 →
1/9
9. ²⁄₅ × ³⁄₅
= (2×3)/(5×5) = 6/25
✔
10. ⅕ × ⁴⁄₅
= (1×4)/(5×5) = 4/25
✔
11. ⁴⁄₈ × ⁶⁄₆
= (4×6)/(8×6) = 24/48 → simplify: ÷24 →
1/2
*(Note: ⁶⁄₆ = 1, so ⁴⁄₈ × 1 = ⁴⁄₈ = ½)*
12. ⁴⁄₆ × ⁴⁄₆
= (4×4)/(6×6) = 16/36 → simplify: ÷4 →
4/9
13. ²⁄₃ × ²⁄₃
= (2×2)/(3×3) = 4/9
✔
14. ⁵⁄₆ × ⁵⁄₆
= (5×5)/(6×6) = 25/36
✔
15. ²⁄₈ × ²⁄₈
= (2×2)/(8×8) = 4/64 → simplify: ÷4 →
1/16
16. ²⁄₄ × ¹⁄₄
= (2×1)/(4×4) = 2/16 → simplify: ÷2 →
1/8
17. ⅓ × ¹⁄₃
= (1×1)/(3×3) = 1/9
✔
18. ⁶⁄₈ × ⁷⁄₈
= (6×7)/(8×8) = 42/64 → simplify: ÷2 →
21/32
19. ⁴⁄₅ × ²⁄₅
= (4×2)/(5×5) = 8/25
✔
20. ⅕ × ¹⁄₅
= (1×1)/(5×5) = 1/25
✔
21. ¹⁄₆ × ⁶⁄₆
= (1×6)/(6×6) = 6/36 → simplify: ÷6 →
1/6
*(Note: ⁶⁄₆ = 1, so ¹⁄₆ × 1 = ¹⁄₆)*
22. ¾ × ¾
= (3×3)/(4×4) = 9/16
✔
23. ⁵⁄₈ × ¹⁄₈
= (5×1)/(8×8) = 5/64
✔
24. ⁴⁄₅ × ¹⁄₅
= (4×1)/(5×5) = 4/25
✔
25. ⁵⁄₈ × ⁵⁄₈
= (5×5)/(8×8) = 25/64
✔
26. ²⁄₅ × ⁵⁄₈
= (2×5)/(5×8) = 10/40 → simplify: ÷10 →
1/4
*(Note: The 5s cancel: ²⁄₅ × ⁵⁄₈ = ²⁄₁ × ¹⁄₈ = 2/8 = 1/4)*
27. ⅗ × ⁶⁄₆
= (3×6)/(5×6) = 18/30 → simplify: ÷6 →
3/5
*(Note: ⁶⁄₆ = 1, so ⅗ × 1 = ⅗)*
28. ²⁄₄ × ²⁄₄
= (2×2)/(4×4) = 4/16 → simplify: ÷4 →
1/4
29. ⅜ × ⁶⁄₆
= (3×6)/(8×6) = 18/48 → simplify: ÷6 →
3/8
*(Note: ⁶⁄₆ = 1, so ⅜ × 1 = ⅜)*
30. ⁷⁄₈ × ³⁄₈
= (7×3)/(8×8) = 21/64
✔
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##
✔ Final Answers (Listed 1–30):
1.
3/10
2.
7/32
3.
12/25
4.
9/32
5.
2/9
6.
7/16
7.
1/3
8.
1/9
9.
6/25
10.
4/25
11.
1/2
12.
4/9
13.
4/9
14.
25/36
15.
1/16
16.
1/8
17.
1/9
18.
21/32
19.
8/25
20.
1/25
21.
1/6
22.
9/16
23.
5/64
24.
4/25
25.
25/64
26.
1/4
27.
3/5
28.
1/4
29.
3/8
30.
21/64
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✔ All answers are simplified to lowest terms.
Let me know if you’d like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of printable math worksheet for 4th grade multiplication.