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Math worksheet for converting fractions to decimal numbers.

Worksheet titled "Converting Fraction to Decimal Number" with instructions to change fractions into decimal numbers, featuring multiple fraction problems in a grid format.

Worksheet titled "Converting Fraction to Decimal Number" with instructions to change fractions into decimal numbers, featuring multiple fraction problems in a grid format.

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Show Answer Key & Explanations Step-by-step solution for: Converting Fractions to from Decimals Worksheets - Math Monks
Sure! Let’s solve the worksheet “Converting Fraction to Decimal Number” by converting each fraction into its decimal equivalent.

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🔢 How to Convert a Fraction to a Decimal:


Divide the numerator (top number) by the denominator (bottom number).

You can do this using long division or a calculator. We’ll round repeating decimals to 3 decimal places unless otherwise specified, but since this is a basic worksheet, we’ll show exact or common decimal forms.

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## Solutions:

Row 1:


1. 4/6 = 4 ÷ 6 = 0.666...0.667 (rounded to 3 decimals)
*Or simplify first: 4/6 = 2/3 ≈ 0.667*

2. 8/3 = 8 ÷ 3 = 2.666...2.667

3. 11/5 = 11 ÷ 5 = 2.2

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Row 2:


4. 5/3 = 5 ÷ 3 = 1.666...1.667

5. 25/4 = 25 ÷ 4 = 6.25

6. 1/5 = 1 ÷ 5 = 0.2

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Row 3:


7. 3/4 = 3 ÷ 4 = 0.75

8. 12/5 = 12 ÷ 5 = 2.4

9. 16/22 = 16 ÷ 22 = 0.727...0.727
*(Simplify first: 16/22 = 8/11 ≈ 0.727)*

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Row 4:


10. 2/15 = 2 ÷ 15 = 0.133...0.133

11. 9/7 = 9 ÷ 7 = 1.2857...1.286

12. 4/5 = 4 ÷ 5 = 0.8

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Row 5:


13. 18/7 = 18 ÷ 7 = 2.5714...2.571

14. 24/11 = 24 ÷ 11 = 2.1818...2.182

15. 33/10 = 33 ÷ 10 = 3.3

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Row 6:


16. 1/8 = 1 ÷ 8 = 0.125

17. 8/15 = 8 ÷ 15 = 0.533...0.533

18. 13/10 = 13 ÷ 10 = 1.3

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## 📝 Final Answers (to fill in the blanks):

| Fraction | Decimal |
|----------|--------------|
| 4/6 | 0.667 |
| 8/3 | 2.667 |
| 11/5 | 2.2 |
| 5/3 | 1.667 |
| 25/4 | 6.25 |
| 1/5 | 0.2 |
| 3/4 | 0.75 |
| 12/5 | 2.4 |
| 16/22 | 0.727 |
| 2/15 | 0.133 |
| 9/7 | 1.286 |
| 4/5 | 0.8 |
| 18/7 | 2.571 |
| 24/11 | 2.182 |
| 33/10 | 3.3 |
| 1/8 | 0.125 |
| 8/15 | 0.533 |
| 13/10 | 1.3 |

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Tip for Students: If you’re doing this by hand, remember that some fractions result in repeating decimals (like 1/3 = 0.333...). In school worksheets, it's common to round to 2 or 3 decimal places unless told otherwise.

Let me know if you want to see the long division steps for any of them! 😊
Parent Tip: Review the logic above to help your child master the concept of converting rational numbers to decimals worksheet.
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