Sure! Let’s solve the worksheet
“Decimals to Fractions” step by step. The goal is to convert each decimal into a fraction and then simplify it to its lowest terms.
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🔢 General Rule:
- For decimals, write the number without the decimal point as the numerator.
- The denominator is 10, 100, 1000, etc., depending on how many decimal places there are:
- 1 decimal place → denominator = 10
- 2 decimal places → denominator = 100
- 3 decimal places → denominator = 1000
- Then simplify the fraction by dividing numerator and denominator by their Greatest Common Divisor (GCD).
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##
✔ Solutions:
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1. 3.9
= 39/10 → already simplified (no common factors)
✔ Answer: 39/10 or
3 9/10
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2. 0.11
= 11/100 → 11 and 100 have no common factors
✔ Answer: 11/100
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3. 0.65
= 65/100 → divide numerator and denominator by 5 → 13/20
✔ Answer: 13/20
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4. 0.23
= 23/100 → 23 is prime, so no simplification
✔ Answer: 23/100
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5. 0.43
= 43/100 → 43 is prime
✔ Answer: 43/100
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6. 0.09
= 9/100 → 9 and 100 have no common factors
✔ Answer: 9/100
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7. 0.06
= 6/100 → divide by 2 → 3/50
✔ Answer: 3/50
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8. 0.03
= 3/100 → already simplified
✔ Answer: 3/100
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9. 0.34
= 34/100 → divide by 2 → 17/50
✔ Answer: 17/50
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10. 0.78
= 78/100 → divide by 2 → 39/50
✔ Answer: 39/50
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11. 1.4
= 14/10 → divide by 2 → 7/5 → or as mixed number:
1 2/5
✔ Answer: 7/5 or
1 2/5
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12. 5.16
= 516/100 → divide numerator and denominator by 4 → 129/25 → or
5 4/25
✔ Answer: 129/25 or
5 4/25
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13. 2.65
= 265/100 → divide by 5 → 53/20 → or
2 13/20
✔ Answer: 53/20 or
2 13/20
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14. 2.18
= 218/100 → divide by 2 → 109/50 → or
2 9/50
✔ Answer: 109/50 or
2 9/50
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15. 3.73
= 373/100 → 373 is prime → cannot simplify
✔ Answer: 373/100 or
3 73/100
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16. 1.14
= 114/100 → divide by 2 → 57/50 → or
1 7/50
✔ Answer: 57/50 or
1 7/50
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17. 1.67
= 167/100 → 167 is prime → no simplification
✔ Answer: 167/100 or
1 67/100
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18. 1.8
= 18/10 → divide by 2 → 9/5 → or
1 4/5
✔ Answer: 9/5 or
1 4/5
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19. 2.1
= 21/10 → already simplified
✔ Answer: 21/10 or
2 1/10
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20. 1.9
= 19/10 → already simplified
✔ Answer: 19/10 or
1 9/10
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## 📝 Final Answer Key:
1.
39/10
2.
11/100
3.
13/20
4.
23/100
5.
43/100
6.
9/100
7.
3/50
8.
3/100
9.
17/50
10.
39/50
11.
7/5
12.
129/25
13.
53/20
14.
109/50
15.
373/100
16.
57/50
17.
167/100
18.
9/5
19.
21/10
20.
19/10
*(You can also write improper fractions as mixed numbers if preferred — both are correct.)*
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Let me know if you’d like this in printable format or with visual steps for each problem! 😊
Parent Tip: Review the logic above to help your child master the concept of change decimals to fractions worksheet.
