Worksheet for converting fractions, decimals, and percentages.

Of course! Let’s solve the worksheet by converting between fractions, decimals, and percents. The key relationships are:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add “%”.
- Percent → Decimal: Divide by 100.
- Decimal → Fraction: Write as fraction over power of 10, then simplify.
- Percent → Fraction: Write as fraction over 100, then simplify.

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Let’s fill in each row one by one:

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Row 1: Fraction = ¼, Decimal = 0.25 → Find Percent

→ 0.25 × 100 = 25%

✔ Percent = 25%

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Row 2: Fraction = ⁴⁄₅ → Find Decimal and Percent

→ 4 ÷ 5 = 0.8
→ 0.8 × 100 = 80%

✔ Decimal = 0.8, Percent = 80%

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Row 3: Fraction = ⁷⁄₁₀, Percent = 70% → Find Decimal

→ 7 ÷ 10 = 0.7

✔ Decimal = 0.7

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Row 4: Decimal = 0.3 → Find Fraction and Percent

→ 0.3 = ³⁄₁₀ (already simplified)
→ 0.3 × 100 = 30%

✔ Fraction = ³⁄₁₀, Percent = 30%

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Row 5: Decimal = 0.9 → Find Fraction and Percent

→ 0.9 = ⁹⁄₁₀
→ 0.9 × 100 = 90%

✔ Fraction = ⁹⁄₁₀, Percent = 90%

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Row 6: Decimal = 0.24 → Find Fraction and Percent

→ 0.24 = ²⁴⁄₁₀₀ = ⁶⁄₂₅ (simplified by dividing numerator and denominator by 4)
→ 0.24 × 100 = 24%

✔ Fraction = ⁶⁄₂₅, Percent = 24%

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Row 7: Percent = 60% → Find Fraction and Decimal

→ 60% = 60/100 = ³⁄₅ (simplified)
→ 60 ÷ 100 = 0.6

✔ Fraction = ³⁄₅, Decimal = 0.6

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Row 8: Percent = 20% → Find Fraction and Decimal

→ 20% = 20/100 = ¹⁄₅
→ 20 ÷ 100 = 0.2

✔ Fraction = ¹⁄₅, Decimal = 0.2

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Row 9: Percent = 14% → Find Fraction and Decimal

→ 14% = 14/100 = ⁷⁄₅₀ (simplified by dividing by 2)
→ 14 ÷ 100 = 0.14

✔ Fraction = ⁷⁄₅₀, Decimal = 0.14

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Row 10: Fraction = ¹⁄₈ → Find Decimal and Percent

→ 1 ÷ 8 = 0.125
→ 0.125 × 100 = 12.5%

✔ Decimal = 0.125, Percent = 12.5%

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Row 11: Decimal = 0.79 → Find Fraction and Percent

→ 0.79 = ⁷⁹⁄₁₀₀ (already simplified)
→ 0.79 × 100 = 79%

✔ Fraction = ⁷⁹⁄₁₀₀, Percent = 79%

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Row 12: Percent = 86% → Find Fraction and Decimal

→ 86% = 86/100 = ⁴³⁄₅₀ (simplified by dividing by 2)
→ 86 ÷ 100 = 0.86

✔ Fraction = ⁴³⁄₅₀, Decimal = 0.86

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Row 13: Decimal = 0.36 → Find Fraction and Percent

→ 0.36 = ³⁶⁄₁₀₀ = ⁹⁄₂₅ (simplified by dividing by 4)
→ 0.36 × 100 = 36%

✔ Fraction = ⁹⁄₂₅, Percent = 36%

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Row 14: Fraction = ¾ → Find Decimal and Percent

→ 3 ÷ 4 = 0.75
→ 0.75 × 100 = 75%

✔ Decimal = 0.75, Percent = 75%

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Row 15: Decimal = 0.45 → Find Fraction and Percent

→ 0.45 = ⁴⁵⁄₁₀₀ = ⁹⁄₂₀ (simplified by dividing by 5)
→ 0.45 × 100 = 45%

✔ Fraction = ⁹⁄₂₀, Percent = 45%

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Row 16: Percent = 37.5% → Find Fraction and Decimal

→ 37.5% = 37.5/100 = 375/1000 = ³⁄₈ (simplified: divide numerator and denominator by 125)
→ 37.5 ÷ 100 = 0.375

✔ Fraction = ³⁄₈, Decimal = 0.375

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Row 17: Fraction = ²⁄₃ → Find Decimal and Percent

→ 2 ÷ 3 ≈ 0.666... (often written as 0.6̅ or rounded to 0.667 for practical purposes — but since this is a math sheet, we’ll write it as a repeating decimal or use exact value)
→ For percent: 0.666... × 100 ≈ 66.666...% or 66⅔%

✔ Decimal = 0.666... (or 0.6̅), Percent = 66⅔% (or approximately 66.67%)

*(Note: In school worksheets, ²⁄₃ is often accepted as 0.667 or 66.7%, but technically it's repeating. Since the other answers are exact, we’ll write it as a repeating decimal and fraction percent.)*

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## ✔ Final Completed Table:

| FRACTION | DECIMAL | PERCENT |
|--------------|---------------|------------|
| ¼ | 0.25 | 25% |
| ⁴⁄₅ | 0.8 | 80% |
| ⁷⁄₁₀ | 0.7 | 70% |
| ³⁄₁₀ | 0.3 | 30% |
| ⁹⁄₁₀ | 0.9 | 90% |
| ⁶⁄₂₅ | 0.24 | 24% |
| ³⁄₅ | 0.6 | 60% |
| ¹⁄₅ | 0.2 | 20% |
| ⁷⁄₅₀ | 0.14 | 14% |
| ¹⁄₈ | 0.125 | 12.5% |
| ⁷⁹⁄₁₀₀ | 0.79 | 79% |
| ⁴₃⁄₅₀ | 0.86 | 86% |
| ⁹⁄₂₅ | 0.36 | 36% |
| ¾ | 0.75 | 75% |
| ⁹⁄₂₀ | 0.45 | 45% |
| ³⁄₈ | 0.375 | 37.5% |
| ²⁄₃ | 0.666... | 66⅔% |

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## 📝 Notes:
- All fractions are in simplest form.
- Repeating decimals like 0.666... are exact; you can write them with a bar if allowed.
- Percents like 66⅔% are exact equivalents of ²⁄₃.

You’re all set! This completes “Fractions, Decimals & Percents Sheet 3”. 😊