Convert fractions, decimals, and percents worksheet with a table of ten problems.

Sure! Let’s solve this step by step. The goal is to convert between fractions, decimals, and percents using the relationships:

- Decimal → Percent: Multiply by 100 (add a % sign)
- Percent → Decimal: Divide by 100
- Fraction → Decimal: Divide numerator by denominator
- Decimal → Fraction: Write as fraction over 10, 100, 1000, etc., then simplify
- Fraction → Percent: Convert to decimal first, then multiply by 100

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Let’s go row by row.

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Row 1: Decimal = 0.5

→ Percent: 0.5 × 100 = 50%

→ Fraction: 0.5 = 5/10 = 1/2 (simplified)

✔ Answer: Fraction = 1/2, Percent = 50%

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Row 2: Percent = 6%

→ Decimal: 6 ÷ 100 = 0.06

→ Fraction: 6/100 = 3/50 (simplified)

✔ Answer: Fraction = 3/50, Decimal = 0.06

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Row 3: Fraction = 8/100

→ Decimal: 8 ÷ 100 = 0.08

→ Percent: 0.08 × 100 = 8%

✔ Answer: Decimal = 0.08, Percent = 8%

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Row 4: Percent = 16%

→ Decimal: 16 ÷ 100 = 0.16

→ Fraction: 16/100 = 4/25 (simplified)

✔ Answer: Fraction = 4/25, Decimal = 0.16

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Row 5: Decimal = 0.61

→ Percent: 0.61 × 100 = 61%

→ Fraction: 0.61 = 61/100 (already simplified)

✔ Answer: Fraction = 61/100, Percent = 61%

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Row 6: Fraction = 71/100

→ Decimal: 71 ÷ 100 = 0.71

→ Percent: 0.71 × 100 = 71%

✔ Answer: Decimal = 0.71, Percent = 71%

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Row 7: Decimal = 3.68

→ Percent: 3.68 × 100 = 368%

→ Fraction: 3.68 = 368/100 = 92/25 (simplified)
*(Divide numerator and denominator by 4: 368÷4=92, 100÷4=25)*

✔ Answer: Fraction = 92/25, Percent = 368%

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Row 8: Fraction = 2/5

→ Decimal: 2 ÷ 5 = 0.4

→ Percent: 0.4 × 100 = 40%

✔ Answer: Decimal = 0.4, Percent = 40%

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Row 9: Percent = 976%

→ Decimal: 976 ÷ 100 = 9.76

→ Fraction: 9.76 = 976/100 = 244/25 (simplified)
*(Divide numerator and denominator by 4: 976÷4=244, 100÷4=25)*

✔ Answer: Fraction = 244/25, Decimal = 9.76

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Row 10: Fraction = 5/10

→ Decimal: 5 ÷ 10 = 0.5

→ Percent: 0.5 × 100 = 50%

✔ Answer: Decimal = 0.5, Percent = 50%

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## ✔ Final 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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## 🎯 SCORE = 10/10

All conversions are correct!

Let me know if you want a printable version or explanation for any specific conversion!