Let’s solve each problem step by step. We’re converting between percents and decimals.
Remember:
- To convert a
percent to a decimal, divide by 100 (or move the decimal point two places to the left).
- To convert a
decimal to a percent, multiply by 100 (or move the decimal point two places to the right).
Also, if there’s a fraction in the percent (like 66½%), first turn that into a decimal percent, then convert to decimal.
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1. 56% = ?
→ 56 ÷ 100 = 0.56
2. 66½% = ?
→ ½ = 0.5 → so 66.5%
→ 66.5 ÷ 100 = 0.665
3. 0.612 = ?%
→ 0.612 × 100 = 61.2%
4. 0.942 = ?%
→ 0.942 × 100 = 94.2%
5. 0.815 = ?%
→ 0.815 × 100 = 81.5%
6. 0.284 = ?%
→ 0.284 × 100 = 28.4%
7. 0.378 = ?%
→ 0.378 × 100 = 37.8%
8. 0.77 = ?%
→ 0.77 × 100 = 77%
9. 71¼% = ?
→ ¼ = 0.25 → so 71.25%
→ 71.25 ÷ 100 = 0.7125
10. 59½% = ?
→ ½ = 0.5 → 59.5%
→ 59.5 ÷ 100 = 0.595
11. 47⁵/₁₀% = ?
→ ⁵/₁₀ = 0.5 → 47.5%
→ 47.5 ÷ 100 = 0.475
12. 0.6 = ?%
→ 0.6 × 100 = 60%
13. 0.156 = ?%
→ 0.156 × 100 = 15.6%
14. 0.112 = ?%
→ 0.112 × 100 = 11.2%
15. 0.685 = ?%
→ 0.685 × 100 = 68.5%
16. 27¼% = ?
→ ¼ = 0.25 → 27.25%
→ 27.25 ÷ 100 = 0.2725
17. 0.922 = ?%
→ 0.922 × 100 = 92.2%
18. 38³/₅% = ?
→ ³/₅ = 0.6 → 38.6%
→ 38.6 ÷ 100 = 0.386
19. 67% = ?
→ 67 ÷ 100 = 0.67
20. 88% = ?
→ 88 ÷ 100 = 0.88
21. 0.932 = ?%
→ 0.932 × 100 = 93.2%
22. 0.516 = ?%
→ 0.516 × 100 = 51.6%
23. 0.027 = ?%
→ 0.027 × 100 = 2.7%
24. 76½% = ?
→ ½ = 0.5 → 76.5%
→ 76.5 ÷ 100 = 0.765
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Final Answer:
1. 0.56
2. 0.665
3. 61.2%
4. 94.2%
5. 81.5%
6. 28.4%
7. 37.8%
8. 77%
9. 0.7125
10. 0.595
11. 0.475
12. 60%
13. 15.6%
14. 11.2%
15. 68.5%
16. 0.2725
17. 92.2%
18. 0.386
19. 0.67
20. 0.88
21. 93.2%
22. 51.6%
23. 2.7%
24. 0.765
Parent Tip: Review the logic above to help your child master the concept of percentages worksheets.