I'll solve each problem step by step, finding the fraction of each number.
Problem 1: 2/7 of 35
- Divide 35 by 7: 35 ÷ 7 = 5
- Multiply by 2: 5 × 2 = 10
- Answer: 10
Problem 2: 3/15 of 24
- Simplify 3/15 to 1/5
- Divide 24 by 5: 24 ÷ 5 = 4.8
- Or: 24 × 3 = 72, then 72 ÷ 15 = 4.8
- Answer: 4.8 or 24/5
Problem 3: 2/12 of 40
- Simplify 2/12 to 1/6
- Divide 40 by 6: 40 ÷ 6 = 6.67 (or 20/3)
- Or: 40 × 2 = 80, then 80 ÷ 12 = 6.67
- Answer: 6.67 or 20/3
Problem 4: 4/24 of 36
- Simplify 4/24 to 1/6
- Divide 36 by 6: 36 ÷ 6 = 6
- Answer: 6
Problem 5: 5/21 of 15
- 15 × 5 = 75, then 75 ÷ 21 = 3.57 (or 25/7)
- Answer: 3.57 or 25/7
Problem 6: 7/15 of 25
- 25 × 7 = 175, then 175 ÷ 15 = 11.67 (or 35/3)
- Answer: 11.67 or 35/3
Problem 7: 3/16 of 12
- 12 × 3 = 36, then 36 ÷ 16 = 2.25 (or 9/4)
- Answer: 2.25 or 9/4
Problem 8: 5/18 of 21
- 21 × 5 = 105, then 105 ÷ 18 = 5.83 (or 35/6)
- Answer: 5.83 or 35/6
Problem 9: 7/20 of 15
- 15 × 7 = 105, then 105 ÷ 20 = 5.25 (or 21/4)
- Answer: 5.25 or 21/4
Problem 10: 5/12 of 16
- 16 × 5 = 80, then 80 ÷ 12 = 6.67 (or 20/3)
- Answer: 6.67 or 20/3
Problem 11: 3/16 of 12
- Same as #7: 12 × 3 = 36, then 36 16 = 2.25
- Answer: 2.25 or 9/4
Problem 12: 5/25 of 15
- Simplify 5/25 to 1/5
- Divide 15 by 5: 15 ÷ 5 = 3
- Answer: 3
Final Answer:
1) 10
2) 4.8 (or 24/5)
3) 6.67 (or 20/3)
4) 6
5) 3.57 (or 25/7)
6) 11.67 (or 35/3)
7) 2.25 (or 9/4)
8) 5.83 (or 35/6)
9) 5.25 (or 21/4)
10) 6.67 (or 20/3)
11) 2.25 (or 9/4)
12) 3
Parent Tip: Review the logic above to help your child master the concept of whole numbers as fractions worksheet.