Let's solve the worksheet step by step. The task is to
convert decimals to fractions. Here’s how we do it:
General Rule:
To convert a decimal to a fraction:
1. Write the decimal as a fraction with the denominator as a power of 10 (based on the number of decimal places).
2. Simplify the fraction if possible.
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Now, let's go through each problem:
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1. 0.83
→ 83/100 → Already in simplest form
✔ Answer: 83/100
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2. 0.4
→ 4/10 = 2/5 (divide numerator and denominator by 2)
✔ Answer: 2/5
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3. 0.24
→ 24/100 = 6/25 (divide by 4)
✔ Answer: 6/25
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4. 0.96
→ 96/100 = 24/25 (divide by 4)
✔ Answer: 24/25
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5. 0.6
→ 6/10 = 3/5 (divide by 2)
✔ Answer: 3/5
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6. 0.2
→ 2/10 = 1/5 (divide by 2)
✔ Answer: 1/5
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7. 0.7
→ 7/10 → Already simplified
✔ Answer: 7/10
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8. 0.19
→ 19/100 → Already simplified
✔ Answer: 19/100
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9. 0.95
→ 95/100 = 19/20 (divide by 5)
✔ Answer: 19/20
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10. 0.1
→ 1/10 → Already simplified
✔ Answer: 1/10
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11. 0.23
→ 23/100 → Already simplified
✔ Answer: 23/100
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12. 0.68
→ 68/100 = 17/25 (divide by 4)
✔ Answer: 17/25
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13. 0.2
→ Same as #6 → 2/10 = 1/5
✔ Answer: 1/5
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14. 0.97
→ 97/100 → Already simplified
✔ Answer: 97/100
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15. 0.94
→ 94/100 = 47/50 (divide by 2)
✔ Answer: 47/50
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16. 0.5
→ 5/10 = 1/2 (divide by 5)
✔ Answer: 1/2
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Final Answers:
1. 83/100
2. 2/5
3. 6/25
4. 24/25
5. 3/5
6. 1/5
7. 7/10
8. 19/100
9. 19/20
10. 1/10
11. 23/100
12. 17/25
13. 1/5
14. 97/100
15. 47/50
16. 1/2
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✔ All answers are now simplified fractions.
Let me know if you'd like this printed or formatted for a student!
Parent Tip: Review the logic above to help your child master the concept of decimals and fractions worksheet.
