Percent to Fraction Calculator
Convert percentages to fractions instantly. Get simplified fractions, mixed numbers, decimal equivalents, and visual representation.
Step 1: Enter Percent
Percent to Fraction Formula
Write percent as a fraction with denominator 100, then simplify.
Example: 37.5% = 37.5/100 = 375/1000 = 3/8
Step 2: Format & Options
Common conversions
10% = 1/10 | 12.5% = 1/8 | 16.67% ≈ 1/6 | 20% = 1/5
25% = 1/4 | 33.33% ≈ 1/3 | 50% = 1/2 | 66.67% ≈ 2/3 | 75% = 3/4
Conversion Results
Percent as fraction
Common Percent to Fraction
| Percent | Fraction (simplified) | Decimal |
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How to Convert Percent to Fraction
1. Write the percent divided by 100
Example: 37.5% = 37.5 / 100
2. Remove decimal (if any)
Multiply numerator and denominator by 10 for each decimal place: 37.5/100 = 375/1000
3. Simplify the fraction
Find GCD of 375 and 1000 (which is 125) → (375÷125)/(1000÷125) = 3/8
4. If percent > 100, convert to mixed number
Example: 150% = 150/100 = 3/2 = 1½
Example with approximation
Using max denominator
If you limit denominator to 10, 33.33% ≈ 1/3 (denom 3 ≤ 10). For 57% with max denom 5: closest fraction might be 2/3.5? Not integer — we find 2/3? Actually 0.57 ≈ 4/7 = 0.5714 (denom 7 >5) so best with denom ≤5 is 3/5 = 0.6 or 2/5=0.4. Our algorithm picks closest.
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