Let's solve each fraction by converting it to a decimal. We'll divide the numerator by the denominator for each fraction and round repeating decimals to the nearest
thousandth (three decimal places) if needed.
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1. 1/2
Divide:
$ \frac{1}{2} = 0.5 $
✔ Answer: 0.500 *(Already exact, so we can write as 0.5 or 0.500)*
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2. 3/4
Divide:
$ \frac{3}{4} = 0.75 $
✔ Answer: 0.750
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3. 1/3
Divide:
$ \frac{1}{3} = 0.\overline{3} $ (repeating 3)
Rounded to the nearest thousandth:
0.333
✔ Answer: 0.333
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4. 2/5
Divide:
$ \frac{2}{5} = 0.4 $
✔ Answer: 0.400
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5. 4/7
Divide:
$ \frac{4}{7} \approx 0.571428... $ (repeating)
Rounded to the nearest thousandth:
Look at the fourth decimal place: 4 → less than 5, so don't round up.
So, $ 0.571 $
✔ Answer: 0.571
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6. 5/8
Divide:
$ \frac{5}{8} = 0.625 $
✔ Answer: 0.625
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✔ Final Answers:
| Fraction | Decimal |
|--------|--------|
| 1/2 |
0.500 |
| 3/4 |
0.750 |
| 1/3 |
0.333 |
| 2/5 |
0.400 |
| 4/7 |
0.571 |
| 5/8 |
0.625 |
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🔍 Explanation:
- To convert a fraction to a decimal, divide the numerator by the denominator.
- If the result is a repeating decimal (like 1/3), round to
three decimal places as instructed.
- For terminating decimals (like 1/2), you can add zeros to make it three decimal places if needed (e.g., 0.5 → 0.500).
Let me know if you'd like a step-by-step long division example for any of them!
Parent Tip: Review the logic above to help your child master the concept of printable worksheets decimals to fractions.
