Let's solve each problem step by step, converting decimals to fractions and simplifying where possible.
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How to Convert Decimals to Fractions:
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 by dividing numerator and denominator by their greatest common divisor (GCD).
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Now, let's go through each one:
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1. 0.24
= 24/100 = (24 ÷ 4)/(100 ÷ 4) =
6/25
2. 0.35
= 35/100 = (35 ÷ 5)/(100 ÷ 5) =
7/20
3. 0.79
= 79/100 → already simplified →
79/100
4. 0.02
= 2/100 = (2 ÷ 2)/(100 ÷ 2) =
1/50
5. 0.7
= 7/10 → already simplified →
7/10
6. 0.82
= 82/100 = (82 ÷ 2)/(100 ÷ 2) =
41/50
7. 0.21
= 21/100 → already simplified →
21/100
8. 0.46
= 46/100 = (46 ÷ 2)/(100 ÷ 2) =
23/50
9. 0.12
= 12/100 = (12 ÷ 4)/(100 ÷ 4) =
3/25
10. 0.99
= 99/100 → already simplified →
99/100
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Now for the ones with whole numbers (mixed numbers):
11. 1.6
= 1 + 0.6 = 1 + 6/10 = 1 + 3/5 =
1 3/5 or
13/5 (improper)
12. 2.4
= 2 + 0.4 = 2 + 4/10 = 2 + 2/5 =
2 2/5 or
12/5
13. 3.1
= 3 + 0.1 = 3 + 1/10 =
3 1/10 or
31/10
14. 4.4
= 4 + 0.4 = 4 + 2/5 =
4 2/5 or
22/5
15. 2.8
= 2 + 0.8 = 2 + 8/10 = 2 + 4/5 =
2 4/5 or
14/5
16. 1.7
= 1 + 0.7 = 1 + 7/10 =
1 7/10 or
17/10
17. 6.5
= 6 + 0.5 = 6 + 1/2 =
6 1/2 or
13/2
18. 1.17
= 1 + 0.17 = 1 + 17/100 =
1 17/100 or
117/100
19. 6.2
= 6 + 0.2 = 6 + 1/5 =
6 1/5 or
31/5
20. 1.23
= 1 + 0.23 = 1 + 23/100 =
1 23/100 or
123/100
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✔ Final Answers:
| # | Decimal | Fraction |
|---|--------|---------|
| 1 | 0.24 |
6/25 |
| 2 | 0.35 |
7/20 |
| 3 | 0.79 |
79/100 |
| 4 | 0.02 |
1/50 |
| 5 | 0.7 |
7/10 |
| 6 | 0.82 |
41/50 |
| 7 | 0.21 |
21/100 |
| 8 | 0.46 |
23/50 |
| 9 | 0.12 |
3/25 |
|10 | 0.99 |
99/100 |
|11 | 1.6 |
1 3/5 or
13/5 |
|12 | 2.4 |
2 2/5 or
12/5 |
|13 | 3.1 |
3 1/10 or
31/10 |
|14 | 4.4 |
4 2/5 or
22/5 |
|15 | 2.8 |
2 4/5 or
14/5 |
|16 | 1.7 |
1 7/10 or
17/10 |
|17 | 6.5 |
6 1/2 or
13/2 |
|18 | 1.17 |
1 17/100 or
117/100 |
|19 | 6.2 |
6 1/5 or
31/5 |
|20 | 1.23 |
1 23/100 or
123/100 |
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Tip: For mixed numbers, you can write either as a mixed number (e.g., 1 3/5) or an improper fraction (e.g., 13/5), depending on what your teacher prefers. Both are correct.
Let me know if you'd like this printed or formatted as a worksheet!
Parent Tip: Review the logic above to help your child master the concept of decimals worksheet.
