I'll solve each ratio to fraction conversion problem by finding the greatest common divisor (GCD) and simplifying.
Let me work through each one:
1. 24 : 44
- GCD of 24 and 44 = 4
- 24 ÷ 4 = 6
- 44 ÷ 4 = 11
- Answer: 6/11
2. 42 : 56
- GCD of 42 and 56 = 14
- 42 ÷ 14 = 3
- 56 ÷ 14 = 4
- Answer: 3/4
3. 64 : 82
- GCD of 64 and 82 = 2
- 64 ÷ 2 = 32
- 82 ÷ 2 = 41
- Answer: 32/41
4. 28 : 49
- GCD of 28 and 49 = 7
- 28 ÷ 7 = 4
- 49 ÷ 7 = 7
- Answer: 4/7
5. 48 : 52
- GCD of 48 and 52 = 4
- 48 ÷ 4 = 12
- 52 4 = 13
- Answer: 12/13
6. 52 : 65
- GCD of 52 and 65 = 13
- 52 ÷ 13 = 4
- 65 ÷ 13 = 5
- Answer: 4/5
7. 36 : 44
- GCD of 36 and 44 = 4
- 36 ÷ 4 = 9
- 44 ÷ 4 = 11
- Answer: 9/11
8. 45 : 75
- GCD of 45 and 75 = 15
- 45 ÷ 15 = 3
- 75 ÷ 15 = 5
- Answer: 3/5
9. 80 : 95
- GCD of 80 and 95 = 5
- 80 ÷ 5 = 16
- 95 ÷ 5 = 19
- Answer: 16/19
10. 76 : 82
- GCD of 76 and 82 = 2
- 76 ÷ 2 = 38
- 82 2 = 41
- Answer: 38/41
11. 86 : 96
- GCD of 86 and 96 = 2
- 86 ÷ 2 = 43
- 96 ÷ 2 = 48
- Answer: 43/48
12. 39 : 45
- GCD of 39 and 45 = 3
- 39 ÷ 3 = 13
- 45 ÷ 3 = 15
- Answer: 13/15
13. 63 : 72
- GCD of 63 and 72 = 9
- 63 ÷ 9 = 7
- 72 ÷ 9 = 8
- Answer: 7/8
14. 54 : 63
- GCD of 54 and 63 = 9
- 54 ÷ 9 = 6
- 63 ÷ 9 = 7
- Answer: 6/7
Final Answer:
1. 6/11
2. 3/4
3. 32/41
4. 4/7
5. 12/13
6. 4/5
7. 9/11
8. 3/5
9. 16/19
10. 38/41
11. 43/48
12. 13/15
13. 7/8
14. 6/7
Parent Tip: Review the logic above to help your child master the concept of ratio worksheet.
