Fraction/Decimal/Percent Converter
Convert between fractions, decimals, and percentages instantly.
Enter any fraction, decimal, or percentage and see all three forms with simplification.
Fractions, decimals, and percentages are three different ways to express the same value. Being able to convert fluently between them is a fundamental numeracy skill used in finance, cooking, science, and everyday life.
The conversion triangle:
Fraction → Decimal: divide numerator by denominator 3/8 = 3 ÷ 8 = 0.375
Decimal → Percentage: multiply by 100 0.375 × 100 = 37.5%
Percentage → Decimal: divide by 100 37.5 ÷ 100 = 0.375
Decimal → Fraction: write over 1, multiply to clear decimal, then simplify 0.375 = 375/1000 = 3/8
Percentage → Fraction: write over 100, then simplify 37.5% = 37.5/100 = 375/1000 = 3/8
Common equivalents to memorise:
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/3 | 0.333… | 33.3% |
| 2/3 | 0.666… | 66.7% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 1/10 | 0.1 | 10% |
Worked example: A sale item is reduced by 3/8. What percentage discount is that? 3/8 = 0.375 = 37.5% discount.
Practical uses:
- Nutrition labels: 12g fat in a 40g serving = 12/40 = 0.3 = 30% fat by weight
- Interest rates: 1/4 percent = 0.0025 = 0.25%
- Test scores: 17/20 = 0.85 = 85%
- Recipe scaling: 2/3 of a recipe = 66.7% of each ingredient