Percentage to Fraction Calculator
Convert any percentage to a simplified fraction with our free online calculator. Enter your percentage below to get the equivalent fraction in its simplest form.
%
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0/1
How to Convert Percentages to Fractions
Formula
Percentage/100 = Simplified Fraction
To convert a percentage to a fraction, divide the percentage by 100 and then simplify the resulting fraction to its lowest terms. This gives you the equivalent fractional representation of the percentage.
Step-by-Step Example
Example: Convert 75% to a fraction
- Write the percentage as a fraction over 100:
75% = 75/100 - Simplify the fraction:
- Find the greatest common divisor (GCD) of 75 and 100
- GCD of 75 and 100 is 25
- Divide both numbers by 25: (75 ÷ 25)/(100 ÷ 25) = 3/4
- Therefore, 75% = 3/4
Common Use Cases
- Converting grades (percentage to GPA scale)
- Recipe conversions (baker's percentages)
- Financial calculations (interest rates)
- Statistical analysis (probability fractions)
- Engineering calculations (material compositions)
- Educational assessments (score conversions)
Tips for Accurate Conversions
- Always start by dividing the percentage by 100
- Look for common factors to simplify fractions
- Remember that percentages over 100 become improper fractions
- Use decimal points carefully with percentages
- Verify your answer makes sense mathematically
Common Percentage to Fraction Conversions
| Percentage | Decimal | Simplified Fraction |
|---|---|---|
| 25% | 0.25 | 1/4 |
| 50% | 0.5 | 1/2 |
| 75% | 0.75 | 3/4 |
| 33.33...% | 0.333... | 1/3 |
| 66.66...% | 0.666... | 2/3 |
| 20% | 0.2 | 1/5 |