Grade 5 worksheet for converting decimals to fractions.

Sure! Let’s solve the worksheet “Convert decimals to fractions” step by step.

The goal is to convert each decimal into a simplified fraction. Here's how we do it:

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📌 General Rule:

1. Write the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.
2. Multiply numerator and denominator by 10, 100, 1000, etc., to eliminate the decimal point (depending on how many decimal places).
3. Simplify the fraction by dividing numerator and denominator by their Greatest Common Divisor (GCD).

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Let’s go problem by problem:

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✔ Problem 1: 0.83

- 0.83 = 83/100 → already in simplest form (83 is prime)
→ 83/100

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✔ Problem 2: 0.4

- 0.4 = 4/10 → simplify by dividing by 2 → 2/5

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✔ Problem 3: 0.24

- 0.24 = 24/100 → divide numerator and denominator by 4 → 6/25

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✔ Problem 4: 0.96

- 0.96 = 96/100 → divide by 4 → 24/25 → 24/25

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✔ Problem 5: 0.6

- 0.6 = 6/10 → divide by 2 → 3/5

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✔ Problem 6: 0.2

- 0.2 = 2/10 → divide by 2 → 1/5

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✔ Problem 7: 0.7

- 0.7 = 7/10 → already simplified → 7/10

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✔ Problem 8: 0.19

- 0.19 = 19/100 → 19 is prime → 19/100

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✔ Problem 9: 0.95

- 0.95 = 95/100 → divide by 5 → 19/20

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✔ Problem 10: 0.1

- 0.1 = 1/10 → already simplified → 1/10

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✔ Problem 11: 0.23

- 0.23 = 23/100 → 23 is prime → 23/100

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✔ Problem 12: 0.68

- 0.68 = 68/100 → divide by 4 → 17/25

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✔ Problem 13: 0.2

- Same as #6 → 1/5

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✔ Problem 14: 0.97

- 0.97 = 97/100 → 97 is prime → 97/100

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✔ Problem 15: 0.94

- 0.94 = 94/100 → divide by 2 → 47/50

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✔ Problem 16: 0.5

- 0.5 = 5/10 → divide by 5 → 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 fractions are in simplest form.

This worksheet helps students understand the relationship between decimals and fractions — especially tenths and hundredths — which is key for Grade 5 math!

Let me know if you’d like a printable version or explanation with visuals!