Let’s go through each problem step by step. We’ll convert all numbers to decimals so we can compare them easily.
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1. A = 3/4, B = 70%
- 3 ÷ 4 = 0.75
- 70% = 0.70
→ 0.75 > 0.70 →
A is greater
2. A = 1/2, B = 0.54
- 1 ÷ 2 = 0.50
- 0.54 stays as is
→ 0.50 < 0.54 →
B is greater
3. A = 0.21, B = 21%
- 21% = 0.21
→ They are equal →
=
4. A = 3/5, B = 60.6%
- 3 ÷ 5 = 0.60
- 60.6% = 0.606
→ 0.60 < 0.606 →
B is greater
5. A = 0.482, B = 49%
- 49% = 0.49
→ 0.482 < 0.49 →
B is greater
6. A = 16%, B = 0.108
- 16% = 0.16
→ 0.16 > 0.108 →
A is greater
7. A = 12/25, B = 48%
- 12 ÷ 25 = 0.48
- 48% = 0.48
→ Equal →
=
8. A = 1/10, B = 12%
- 1 ÷ 10 = 0.10
- 12% = 0.12
→ 0.10 < 0.12 →
B is greater
9. A = 1.2, B = 11%
- 11% = 0.11
→ 1.2 > 0.11 →
A is greater
10. A = 58%, B = 31/50
- 58% = 0.58
- 31 ÷ 50 = 0.62
→ 0.58 < 0.62 →
B is greater
11. A = 5020%, B = 50 1/4
- 5020% = 50.20 (because % means divide by 100)
- 50 1/4 = 50 + 0.25 = 50.25
→ 50.20 < 50.25 →
B is greater
12. A = 12.25%, B = 1/8
- 12.25% = 0.1225
- 1 ÷ 8 = 0.125
→ 0.1225 < 0.125 →
B is greater
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Now for ordering from least to greatest:
13. A = 0.64, B = 13/20, C = 63%
- 13 ÷ 20 = 0.65
- 63% = 0.63
So:
C = 0.63, A = 0.64, B = 0.65
Order:
C, A, B
14. A = 45%, B = 0.46, C = 11/25
- 45% = 0.45
- 11 ÷ 25 = 0.44
So:
C = 0.44, A = 0.45, B = 0.46
Order:
C, A, B
15. A = 0.12, B = 1/8, C = 0.135
- 1 ÷ 8 = 0.125
So:
A = 0.12, B = 0.125, C = 0.135
Order:
A, B, C
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Final Answer:
1. A
2. B
3. =
4. B
5. B
6. A
7. =
8. B
9. A
10. B
11. B
12. B
13. C, A, B
14. C, A, B
15. A, B, C
Parent Tip: Review the logic above to help your child master the concept of ordering decimals and fractions worksheet.