I'll solve these multiplication problems step by step, working through each one carefully.
Working through the problems:
Left Column:
1. 12 × 1⅔ = 12 × (5/3) = 60/3 =
20
2. 11 × 1¼ = 11 × (5/4) = 55/4 =
13¾
3. 10 × 2⅓ = 10 × (7/3) = 70/3 =
23
4. 10 × 4⅗ = 10 × (23/5) = 230/5 =
46
5. 15 × 3⅙ = 15 × (19/6) = 285/6 =
47½
6. 15 × 4²⁄₇ = 15 × (30/7) = 450/7 =
64²⁄₇
7. 20 × 6¹⁄₁₀ = 20 × (61/10) = 1220/10 =
122
8. 20 × 5⁴⁄₅ = 20 × (29/5) = 580/5 =
116
Right Column:
9. 3³⁄₇ × 7 = (24/7) × 7 = 24/1 =
24
10. 6³⁄₁₀ × 70 = (63/10) × 70 = 4410/10 =
441
11. 8³⁄₇ × 14 = (59/7) × 14 = 826/7 =
118
12. 9⁷⁄₈ × 24 = (79/8) × 24 = 1896/8 =
237
13. 8¹⁄₁₂ × 6 = (97/12) × 6 = 582/12 =
48½
14. 9⁷₁₅ × 5 = (142/15) × 5 = 710/15 =
47⅓
15. 14¹¹⁄₁₈ × 36 = (263/18) × 36 = 9468/18 =
526
16. 18³⁄₄ × 40 = (75/4) × 40 = 3000/4 =
750
Final Answer:
Left column: 20, 13¾, 23⅓, 46, 47½, 64²⁄₇, 122, 116
Right column: 24, 441, 118, 237, 48½, 47⅓, 526, 750
Parent Tip: Review the logic above to help your child master the concept of multiply mixed numbers by whole numbers worksheet.