Decimals to Fractions worksheet for converting decimal numbers to simplified fractions.

Let's solve each problem step by step, converting decimals to fractions and simplifying where needed.

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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. 0.5
= 5/10 = 1/2

2. 0.3
= 3/10 = 3/10 (already simplified)

3. 0.9
= 9/10 = 9/10

4. 0.04
= 4/100 = 1/25 = 1/25

5. 0.13
= 13/100 = 13/100 (already simplified)

6. 0.1
= 1/10 = 1/10

7. 0.25
= 25/100 = 1/4 = 1/4

8. 0.75
= 75/100 = 3/4 = 3/4

9. 0.05
= 5/100 = 1/20 = 1/20

10. 0.7
= 7/10 = 7/10

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11. 1.25
= 1 + 0.25 = 1 + 25/100 = 1 + 1/4 = 1 1/4 or 5/4

12. 1.3
= 1 + 0.3 = 1 + 3/10 = 1 3/10 or 13/10

13. 1.1
= 1 + 0.1 = 1 + 1/10 = 1 1/10 or 11/10

14. 1.5
= 1 + 0.5 = 1 + 1/2 = 1 1/2 or 3/2

15. 1.22
= 1 + 0.22 = 1 + 22/100 = 1 + 11/50 = 1 11/50 or 61/50

16. 2.3
= 2 + 0.3 = 2 + 3/10 = 2 3/10 or 23/10

17. 1.43
= 1 + 0.43 = 1 + 43/100 = 1 43/100 or 143/100

18. 4.15
= 4 + 0.15 = 4 + 15/100 = 4 + 3/20 = 4 3/20 or 83/20

19. 2.1
= 2 + 0.1 = 2 + 1/10 = 2 1/10 or 21/10

20. 1.7
= 1 + 0.7 = 1 + 7/10 = 1 7/10 or 17/10

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✔ Final Answers:

1. 0.5 = 1/2
2. 0.3 = 3/10
3. 0.9 = 9/10
4. 0.04 = 1/25
5. 0.13 = 13/100
6. 0.1 = 1/10
7. 0.25 = 1/4
8. 0.75 = 3/4
9. 0.05 = 1/20
10. 0.7 = 7/10
11. 1.25 = 5/4 or 1 1/4
12. 1.3 = 13/10 or 1 3/10
13. 1.1 = 11/10 or 1 1/10
14. 1.5 = 3/2 or 1 1/2
15. 1.22 = 61/50 or 1 11/50
16. 2.3 = 23/10 or 2 3/10
17. 1.43 = 143/100 or 1 43/100
18. 4.15 = 83/20 or 4 3/20
19. 2.1 = 21/10 or 2 1/10
20. 1.7 = 17/10 or 1 7/10

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💡 Tip: When writing answers, you can use either improper fractions or mixed numbers, unless specified otherwise. Most teachers accept both, but improper fractions are often preferred for simplicity in calculations.

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