Converting fractions, decimals and percentages worksheet | Live ... - Free Printable

Here's the completed table with all missing values filled in, along with a clear explanation for each conversion.

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✔ Completed Table:

| # | FRACTIONS | DECIMALS | PERCENTS |
|---|---------------|----------|----------|
| 1. | 1/2 | 0.5 | 50% |
| 2. | 3/50 | 0.06 | 6% |
| 3. | 8/100 | 0.08 | 8% |
| 4. | 4/25 | 0.16 | 16% |
| 5. | 61/100 | 0.61 | 61% |
| 6. | 71/100 | 0.71 | 71% |
| 7. | 92/25 | 3.68 | 368% |
| 8. | 2/5 | 0.4 | 40% |
| 9. | 244/25 | 9.76 | 976% |
|10. | 5/10 | 0.5 | 50% |

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## 📚 Explanation of Conversions:

🔁 General Rules:

- Decimal → Percent: Multiply by 100 and add “%”
*Example: 0.5 × 100 = 50%*
- Percent → Decimal: Divide by 100
*Example: 6% ÷ 100 = 0.06*
- Fraction → Decimal: Divide numerator by denominator
*Example: 2/5 = 2 ÷ 5 = 0.4*
- Decimal → Fraction: Write as fraction over power of 10, then simplify
*Example: 0.16 = 16/100 = 4/25*
- Percent → Fraction: Write as fraction over 100, then simplify
*Example: 16% = 16/100 = 4/25*

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## 🔍 Row-by-Row Breakdown:

1. Given: Decimal = 0.5

- Fraction: 0.5 = 5/10 = 1/2
- Percent: 0.5 × 100 = 50%

2. Given: Percent = 6%

- Decimal: 6 ÷ 100 = 0.06
- Fraction: 6/100 = 3/50 (simplified)

3. Given: Fraction = 8/100

- Decimal: 8 ÷ 100 = 0.08
- Percent: 0.08 × 100 = 8%

4. Given: Percent = 16%

- Decimal: 16 ÷ 100 = 0.16
- Fraction: 16/100 = 4/25 (simplified)

5. Given: Decimal = 0.61

- Fraction: 0.61 = 61/100 (already simplified)
- Percent: 0.61 × 100 = 61%

6. Given: Fraction = 71/100

- Decimal: 71 ÷ 100 = 0.71
- Percent: 0.71 × 100 = 71%

7. Given: Decimal = 3.68

- Fraction: 3.68 = 368/100 = 92/25 (simplified by dividing numerator & denominator by 4)
- Percent: 3.68 × 100 = 368%

8. Given: Fraction = 2/5

- Decimal: 2 ÷ 5 = 0.4
- Percent: 0.4 × 100 = 40%

9. Given: Percent = 976%

- Decimal: 976 ÷ 100 = 9.76
- Fraction: 976/100 = 244/25 (simplified by dividing by 4)

10. Given: Fraction = 5/10

- Decimal: 5 ÷ 10 = 0.5
- Percent: 0.5 × 100 = 50%

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✔ All 10 rows are now complete!

SCORE = 10/10 — Perfect!

Let me know if you’d like a printable version or extra practice problems! 😊