Topic Details (Notes format)

Fraction to Percentage Chart

Subject: Mathematics

Book: Basic Math Operations

Converting fractions to percentages involves dividing the numerator by the denominator and multiplying the result by 100. Memorizing a handful of common conversions can save time in calculations—from everyday transactions to more complex data comparisons. Below is a reference chart listing frequently encountered fractions and their equivalent percentages.

### Common Fraction-to-Percentage Conversions:
1. **1/2** → 0.5 → 50%
2. **1/3** → 0.333... → ~33.33%
3. **2/3** → 0.666... → ~66.67%
4. **1/4** → 0.25 → 25%
5. **3/4** → 0.75 → 75%
6. **1/5** → 0.2 → 20%
7. **2/5** → 0.4 → 40%
8. **3/5** → 0.6 → 60%
9. **4/5** → 0.8 → 80%
10. **1/8** → 0.125 → 12.5%
11. **3/8** → 0.375 → 37.5%
12. **5/8** → 0.625 → 62.5%
13. **7/8** → 0.875 → 87.5%
14. **1/10** → 0.1 → 10%
15. **3/10** → 0.3 → 30%
16. **7/10** → 0.7 → 70%

### Quick Conversion Steps:
1. **Divide**: Perform numerator ÷ denominator.
2. **Multiply by 100**: Move the decimal point two places to the right.
3. **Add “%”**: Example, 3/4 → 0.75 → 75%.

### Notes:
- **Repeating Decimals**: Some fractions (like 1/3) yield a repeating decimal; round suitably or keep them approximate (~33.33%).
- **Simplify First**: If dealing with a fraction that can be simplified, do so before converting for a more straightforward decimal.
- **Common Usage**: These conversions are standard in discount calculations, test scores, and statistical data.

By knowing these fraction-to-percentage equivalents, you can interpret ratios quickly and confidently in everyday contexts or advanced mathematical applications.