Fractions represent equal parts of a whole, and converting them using a fraction to percentage calculator makes comparing ratios, survey results, and recipes simple.
Method 1: Decimal Division (Universal Method)
Fraction to Percentage Formula
Percentage (%) = (Numerator ÷ Denominator) × 100
Example: Convert 5/8 to a percentage: 5 ÷ 8 = 0.625 × 100 = 62.5%.
Common Fractions to Percentages Lookup Table
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.50 | 50% |
| 1/3 | 0.3333... | 33.33% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.20 | 20% |
| 1/8 | 0.125 | 12.5% |
| 5/8 | 0.625 | 62.5% |
Convert any ratio instantly using our online Ratio Tool.
Method 2: Scaling to Denominator 100
When the denominator of your fraction divides evenly into 100, you can convert it mentally without long division:
- Determine what factor multiplies the denominator to equal 100 (e.g., for denominator 20,
100 ÷ 20 = 5). - Multiply both numerator and denominator by that factor. For fraction
7/20: multiply7 × 5 = 35and20 × 5 = 100. - The resulting numerator is your percentage:
35/100 = 35%.
Converting Mixed Numbers & Improper Fractions
When dealing with numbers greater than 1 (such as 2 3/4 or 7/5), the percentage will naturally exceed 100%:
- Mixed Number: Convert whole number to hundreds (
2 = 200%) and add the fractional portion (3/4 = 75%), yielding 275%. - Improper Fraction: Divide numerator by denominator:
7 ÷ 5 = 1.40, then multiply by 100 to get 140%.
| Fraction Category | Example | Step-by-Step Conversion | Equivalent Percentage |
|---|---|---|---|
| Proper Fraction | 3/5 | (3 ÷ 5) × 100 = 0.60 × 100 | 60.0% |
| Improper Fraction | 9/4 | (9 ÷ 4) × 100 = 2.25 × 100 | 225.0% |
| Mixed Number | 1 1/8 | 1 + (1 ÷ 8) = 1.125 × 100 | 112.5% |
| Repeating Fraction | 1/6 | (1 ÷ 6) × 100 = 0.1666... × 100 | 16.67% |
Test any fraction conversion with our free percentage calculator.