Worksheet for practicing conversions between fractions, decimals, and percentages.

Absolutely! Let’s solve this “Fractions, Decimals & Percents Sheet 4” by converting each given value into the other two forms (fraction → decimal → percent, or vice versa) using standard conversion rules.

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🔁 Conversion Rules Recap:

- Fraction to Decimal: Divide numerator by denominator.
- Decimal to Percent: Multiply by 100 and add “%”.
- Percent to Decimal: Divide by 100.
- Percent to Fraction: Write as a fraction over 100, then simplify.
- Decimal to Fraction: Write as fraction over power of 10, then simplify.
- Mixed number to improper fraction: Multiply whole number by denominator, add numerator, keep same denominator.

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Let’s go row by row:

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📝 Row 1: Fraction = ³⁄₅

- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%

✔ Answer:
Decimal: 0.6
Percent: 60%

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📝 Row 2: Decimal = 0.64

- Fraction: 0.64 = 64/100 = 16/25 (simplified)
- Percent: 0.64 × 100 = 64%

✔ Answer:
Fraction: 16/25
Percent: 64%

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📝 Row 3: Percent = 55%

- Decimal: 55 ÷ 100 = 0.55
- Fraction: 55/100 = 11/20 (simplified)

✔ Answer:
Fraction: 11/20
Decimal: 0.55

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📝 Row 4: Decimal = 0.16

- Fraction: 0.16 = 16/100 = 4/25
- Percent: 0.16 × 100 = 16%

✔ Answer:
Fraction: 4/25
Percent: 16%

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📝 Row 5: Fraction = ¹⁷⁄₁₀₀

- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%

✔ Answer:
Decimal: 0.17
Percent: 17%

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📝 Row 6: Decimal = 0.35

- Fraction: 0.35 = 35/100 = 7/20
- Percent: 0.35 × 100 = 35%

✔ Answer:
Fraction: 7/20
Percent: 35%

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📝 Row 7: Percent = 28%

- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = 7/25

✔ Answer:
Fraction: 7/25
Decimal: 0.28

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📝 Row 8: Percent = 62.5%

- Decimal: 62.5 ÷ 100 = 0.625
- Fraction: 62.5/100 = 625/1000 = 5/8 (simplified)

✔ Answer:
Fraction: 5/8
Decimal: 0.625

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📝 Row 9: Decimal = 0.59

- Fraction: 0.59 = 59/100 (already simplified)
- Percent: 0.59 × 100 = 59%

✔ Answer:
Fraction: 59/100
Percent: 59%

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📝 Row 10: Fraction = ⁴⁄₇

- Decimal: 4 ÷ 7 ≈ 0.5714... → Usually rounded to 0.571 (or 0.57 depending on context — we’ll use 3 decimals unless specified)
- Percent: 0.571 × 100 = 57.1%

✔ Answer:
Decimal: 0.571
Percent: 57.1%

*(Note: 4/7 is a repeating decimal: 0.571428… so rounding to 3 decimal places is common in worksheets.)*

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📝 Row 11: Decimal = 0.44

- Fraction: 0.44 = 44/100 = 11/25
- Percent: 0.44 × 100 = 44%

✔ Answer:
Fraction: 11/25
Percent: 44%

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📝 Row 12: Percent = 32%

- Decimal: 32 ÷ 100 = 0.32
- Fraction: 32/100 = 8/25

✔ Answer:
Fraction: 8/25
Decimal: 0.32

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📝 Row 13: Fraction = ³⁄₂

- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%

✔ Answer:
Decimal: 1.5
Percent: 150%

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📝 Row 14: Decimal = 0.824

- Fraction: 0.824 = 824/1000 = 103/125 (simplified by dividing numerator and denominator by 8)
- Percent: 0.824 × 100 = 82.4%

✔ Answer:
Fraction: 103/125
Percent: 82.4%

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📝 Row 15: Decimal = 0.73

- Fraction: 0.73 = 73/100 (already simplified)
- Percent: 0.73 × 100 = 73%

✔ Answer:
Fraction: 73/100
Percent: 73%

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📝 Row 16: Mixed Number = 1 ¾

First, convert to improper fraction:
1 ¾ = (1×4 + 3)/4 = 7/4

- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%

✔ Answer:
Decimal: 1.75
Percent: 175%

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📝 Row 17: Percent = 148%

- Decimal: 148 ÷ 100 = 1.48
- Fraction: 148/100 = 37/25 (simplified) OR as mixed number: 1 12/25

✔ Answer:
Fraction: 37/25 (or 1 12/25)
Decimal: 1.48

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## ✔ Final Completed Table:

| FRACTION | DECIMAL | PERCENT |
|---------------|-----------|----------|
| ³⁄₅ | 0.6 | 60% |
| 16/25 | 0.64 | 64% |
| 11/20 | 0.55 | 55% |
| 4/25 | 0.16 | 16% |
| ¹⁷⁄₁₀₀ | 0.17 | 17% |
| 7/20 | 0.35 | 35% |
| 7/25 | 0.28 | 28% |
| 5/8 | 0.625 | 62.5% |
| 59/100 | 0.59 | 59% |
| ⁴⁄₇ | 0.571 | 57.1% |
| 11/25 | 0.44 | 44% |
| 8/25 | 0.32 | 32% |
| ³⁄₂ | 1.5 | 150% |
| 103/125 | 0.824 | 82.4% |
| 73/100 | 0.73 | 73% |
| 7/4 (or 1 ¾) | 1.75 | 175% |
| 37/25 (or 1 12/25) | 1.48 | 148% |

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💡 Tips for Students:
- Always simplify fractions unless told otherwise.
- For repeating decimals (like 4/7), round to 3 decimal places unless instructed differently.
- Double-check your conversions — multiplying/dividing by 100 is easy to mess up!

Let me know if you want this as a printable answer key or need explanations for specific rows! 😊