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Grade 5 worksheet for converting decimals to fractions, designed for practice and learning.

A Grade 5 decimals worksheet titled "Convert decimals to fractions," featuring 16 problems where students convert decimals to fractions and simplify if possible. The worksheet is from K5 Learning, with a clean layout and numbered exercises.

A Grade 5 decimals worksheet titled "Convert decimals to fractions," featuring 16 problems where students convert decimals to fractions and simplify if possible. The worksheet is from K5 Learning, with a clean layout and numbered exercises.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Fractions Worksheet convert and simplify decimals to ...
Let's solve each problem on the "Convert decimals to fractions" worksheet step by step. The goal is to convert each decimal into a fraction and simplify it if possible.

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🔢 How to Convert Decimals to Fractions:



1. Write the decimal as a fraction with the denominator being 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. 0.48

- 0.48 = 48/100
- Simplify: GCD of 48 and 100 is 4 → 48 ÷ 4 = 12, 100 ÷ 4 = 25
- Answer: 12/25

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2. 0.2

- 0.2 = 2/10
- Simplify: GCD of 2 and 10 is 2 → 2 ÷ 2 = 1, 10 ÷ 2 = 5
- Answer: 1/5

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3. 0.44

- 0.44 = 44/100
- GCD of 44 and 100 is 4 → 44 ÷ 4 = 11, 100 ÷ 4 = 25
- Answer: 11/25

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4. 0.15

- 0.15 = 15/100
- GCD of 15 and 100 is 5 → 15 ÷ 5 = 3, 100 ÷ 5 = 20
- Answer: 3/20

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5. 0.26

- 0.26 = 26/100
- GCD of 26 and 100 is 2 → 26 ÷ 2 = 13, 100 ÷ 2 = 50
- Answer: 13/50

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6. 0.8

- 0.8 = 8/10
- GCD of 8 and 10 is 2 → 8 ÷ 2 = 4, 10 ÷ 2 = 5
- Answer: 4/5

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7. 0.02

- 0.02 = 2/100
- GCD of 2 and 100 is 2 → 2 ÷ 2 = 1, 100 ÷ 2 = 50
- Answer: 1/50

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8. 0.28

- 0.28 = 28/100
- GCD of 28 and 100 is 4 → 28 ÷ 4 = 7, 100 ÷ 4 = 25
- Answer: 7/25

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9. 0.8

- Same as #6 → 0.8 = 8/10 = 4/5

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10. 0.25

- 0.25 = 25/100
- GCD of 25 and 100 is 25 → 25 ÷ 25 = 1, 100 ÷ 25 = 4
- Answer: 1/4

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11. 0.5

- 0.5 = 5/10
- GCD of 5 and 10 is 5 → 5 ÷ 5 = 1, 10 ÷ 5 = 2
- Answer: 1/2

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12. 0.55

- 0.55 = 55/100
- GCD of 55 and 100 is 5 → 55 ÷ 5 = 11, 100 ÷ 5 = 20
- Answer: 11/20

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13. 0.6

- 0.6 = 6/10
- GCD of 6 and 10 is 2 → 6 ÷ 2 = 3, 10 ÷ 2 = 5
- Answer: 3/5

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14. 0.64

- 0.64 = 64/100
- GCD of 64 and 100 is 4 → 64 ÷ 4 = 16, 100 ÷ 4 = 25
- Answer: 16/25

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15. 0.75

- 0.75 = 75/100
- GCD of 75 and 100 is 25 → 75 ÷ 25 = 3, 100 ÷ 25 = 4
- Answer: 3/4

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16. 0.58

- 0.58 = 58/100
- GCD of 58 and 100 is 2 → 58 ÷ 2 = 29, 100 ÷ 2 = 50
- Answer: 29/50

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Final Answers:



| Problem | Answer |
|--------|------------|
| 1 | 12/25 |
| 2 | 1/5 |
| 3 | 11/25 |
| 4 | 3/20 |
| 5 | 13/50 |
| 6 | 4/5 |
| 7 | 1/50 |
| 8 | 7/25 |
| 9 | 4/5 |
| 10 | 1/4 |
| 11 | 1/2 |
| 12 | 11/20 |
| 13 | 3/5 |
| 14 | 16/25 |
| 15 | 3/4 |
| 16 | 29/50 |

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Tip: Always check if the fraction can be simplified by finding the GCD of numerator and denominator.

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Parent Tip: Review the logic above to help your child master the concept of working with fractions to decimals worksheet.
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