I'll solve each fraction problem step by step, then provide the final answers.
Problem 1: 5/6 of 36
- First, divide 36 by 6: 36 ÷ 6 = 6
- Then multiply by 5: 6 × 5 = 30
Problem 2: 4/9 of 54
- First, divide 54 by 9: 54 ÷ 9 = 6
- Then multiply by 4: 6 × 4 = 24
Problem 3: 7/15 of 60
- First, divide 60 by 15: 60 ÷ 15 = 4
- Then multiply by 7: 4 × 7 = 28
Problem 4: 3/12 of 96
- First, simplify 3/12 to 1/4
- Divide 96 by 4: 96 ÷ 4 = 24
- Or: 96 ÷ 12 = 8, then 8 × 3 = 24
Problem 5: 5/16 of 48
- First, divide 48 by 16: 48 ÷ 16 = 3
- Then multiply by 5: 3 × 5 = 15
Problem 6: 8/12 of 60
- First, simplify 8/12 to 2/3
- Divide 60 by 3: 60 ÷ 3 = 20
- Then multiply by 2: 20 × 2 = 40
- Or: 60 ÷ 12 = 5, then 5 × 8 = 40
Problem 7: 2/7 of 49
- First, divide 49 by 7: 49 ÷ 7 = 7
- Then multiply by 2: 7 × 2 = 14
Let me verify my calculations:
1. 5/6 × 36 = (5 × 36)/6 = 180/6 = 30 ✓
2. 4/9 × 54 = (4 × 54)/9 = 216/9 = 24 ✓
3. 7/15 × 60 = (7 × 60)/15 = 420/15 = 28 ✓
4. 3/12 × 96 = (3 × 96)/12 = 288/12 = 24 ✓
5. 5/16 × 48 = (5 × 48)/16 = 240/16 = 15 ✓
6. 8/12 × 60 = (8 × 60)/12 = 480/12 = 40 ✓
7. 2/7 × 49 = (2 × 49)/7 = 98/7 = 14 ✓
All calculations are correct!
Final Answer:
30, 24, 28, 24, 15, 40, 14
Parent Tip: Review the logic above to help your child master the concept of whole numbers as fractions worksheet.