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Convert fractions, decimals, and percents in this math worksheet.

Worksheet for converting fractions, decimals, and percents with a table to fill in missing values.

Worksheet for converting fractions, decimals, and percents with a table to fill in missing values.

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Show Answer Key & Explanations Step-by-step solution for: Converting fractions, decimals and percentages worksheet | Live ...
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 `%`.
- Percent → Decimal: Divide by 100.
- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Fraction: Write as fraction over power of 10, then simplify.
- Percent → Fraction: Write as fraction over 100, then simplify.
- Fraction → Percent: Convert to decimal first, then to percent.

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📝 Row-by-Row Breakdown:



#### 1. Decimal = 0.5
- → Percent: 0.5 × 100 = 50%
- → Fraction: 0.5 = 5/10 = 1/2

#### 2. Percent = 6%
- → Decimal: 6 ÷ 100 = 0.06
- → Fraction: 6/100 = 3/50 (simplified)

#### 3. Fraction = 8/100
- → Decimal: 8 ÷ 100 = 0.08
- → Percent: 0.08 × 100 = 8%

#### 4. Percent = 16%
- → Decimal: 16 ÷ 100 = 0.16
- → Fraction: 16/100 = 4/25 (simplified)

#### 5. Decimal = 0.61
- → Percent: 0.61 × 100 = 61%
- → Fraction: 0.61 = 61/100 (already simplified)

#### 6. Fraction = 71/100
- → Decimal: 71 ÷ 100 = 0.71
- → Percent: 0.71 × 100 = 71%

#### 7. Decimal = 3.68
- → Percent: 3.68 × 100 = 368%
- → Fraction: 3.68 = 368/100 = 92/25 (simplified)

#### 8. Fraction = 2/5
- → Decimal: 2 ÷ 5 = 0.4
- → Percent: 0.4 × 100 = 40%

#### 9. Percent = 976%
- → Decimal: 976 ÷ 100 = 9.76
- → Fraction: 976/100 = 244/25 (simplified)

#### 10. 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 practice problems!
Parent Tip: Review the logic above to help your child master the concept of fraction decimal worksheet.
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