Let’s solve each problem step by step. We’re multiplying fractions by integers (whole numbers). Remember:
→ Multiply the numerator (top number) of the fraction by the integer.
→ Keep the denominator (bottom number) the same.
→ If needed, simplify or convert to a mixed number.
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1. ½ × 2 = (1×2)/2 = 2/2 =
1
2. ¼ × 4 = (1×4)/4 = 4/4 =
1
3. ⅓ × 6 = (1×6)/3 = 6/3 =
2
4. ⅕ of 6 → same as ⅕ × 6 = (1×6)/5 = 6/5 =
1 ⅕
5. 5 × ⅛ = (5×1)/8 = 5/8 → already simplified →
5/8
6. 8 × ⅛ = (8×1)/8 = 8/8 =
1
7. 6 × ⅐ = (6×1)/7 = 6/7 → already simplified →
6/7
8. 9 × ⅒ = (9×1)/10 = 9/10 → already simplified →
9/10
9. 7 × ⅖ = (7×2)/5 = 14/5 =
2 ⁴₅
10. 6 × ⅗ = (6×3)/5 = 18/5 =
3 ³⁄₅
11. 9 × ¹⁄₁₀ = (9×1)/10 = 9/10 → already simplified →
9/10
12. 9 × ²⁄₁₁ = (9×2)/11 = 18/11 =
1 ⁷⁄₁₁
13. 10 × ³⁄₇ = (10×3)/7 = 30/7 =
4 ²⁄₇
14. 10 × ⁴⁄₉ = (10×4)/9 = 40/9 =
4 ⁴⁄₉
15. 5 × ¹⁄₁₂ = (5×1)/12 = 5/12 → already simplified →
5/12
16. 10 × ²⁄₃ = (10×2)/3 = 20/3 =
6 ²⁄₃
17. 10 × ⁵⁄₁₂ = (10×5)/12 = 50/12 → simplify: divide top and bottom by 2 → 25/6 =
4 ¹⁄₆
18. 10 × ⁷⁄₈ = (10×7)/8 = 70/8 → simplify: divide by 2 → 35/4 =
8 ³⁄₄
19. 10 × ⁸⁄₁₁ = (10×8)/11 = 80/11 =
7 ³⁄₁₁
20. 10 × ⁹⁄₁₂ = (10×9)/12 = 90/12 → simplify: divide by 6 → 15/2 =
7 ½
21. 5 × ⁴₉ = (5×4)/9 = 20/9 =
2 ²⁄₉
22. 5 × ⁵₈ = (5×5)/8 = 25/8 =
3 ¹⁄₈
23. 5 × ⁶⁄₇ = (5×6)/7 = 30/7 =
4 ²⁄₇
24. 10 × ⁷⁄₁₂ = (10×7)/12 = 70/12 → simplify: divide by 2 → 35/6 =
5 ⁵⁄₆
25. 11 × ⁸⁄₉ = (11×8)/9 = 88/9 =
9 ⁷⁄₉
26. 10 × ⁹⁄₁₂ = same as #20 → 90/12 = 15/2 =
7 ½
Wait — let me double-check #26:
10 × ⁹₁₂ = 90/12 → reduce by dividing numerator and denominator by 6 → 15/2 = 7 ½ → correct.
But note: ⁹⁄₁₂ can be simplified first to ³⁄₄ → then 10 × ³⁄₄ = 30/4 = 15/2 = 7 ½ → same answer.
All answers checked.
Final Answer:
1. 1
2. 1
3. 2
4. 1 ⅕
5. 5/8
6. 1
7. 6/7
8. 9/10
9. 2 ⁴⁄
10. 3 ³⁄₅
11. 9/10
12. 1 ⁷⁄₁₁
13. 4 ²⁄₇
14. 4 ⁴⁄
15. 5/12
16. 6 ²⁄
17. 4 ¹⁄₆
18. 8 ³⁄₄
19. 7 ³⁄₁₁
20. 7 ½
21. 2 ²⁄₉
22. 3 ¹⁄₈
23. 4 ²⁄₇
24. 5 ⁵⁄₆
25. 9 ⁷⁄
26. 7 ½
Parent Tip: Review the logic above to help your child master the concept of multiplying fraction worksheet.
