Percent to fraction conversion calculator
Enter percent and press the Convert button:
Fraction to percent converter ►
How to convert percent to fraction
- Divide the percent by 100 to get decimal number.
- Count the number of digits (d) to the right of the decimal point of the decimal number.
Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
- Calculate the factor (f) for making the decimal number an integer:
f = 10d
Example:
f = 102 = 100
- Multiply and divide the decimal number x by the factor f:
x × f / f = y / f
Example:
2.56 × 100 / 100 = 256 / 100
- Find the greatest common divisor (gcd) of the fraction.
Example:
gcd(256,100) = 4
- Reduce the fraction by dividing the numerator and denominator by the gcd value:
Example:
256 / 100 = (256/4) / (100/4) = 64/25
Example
One percent is equal to one hundredth:
1% = 1/100
So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.
For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:
56% = 56/100 = 14/25
Percent to fraction conversion table
| Percent | Fraction |
|---|---|
| 1% | 1/100 |
| 10% | 1/10 |
| 11.11% | 1/9 |
| 12.5% | 1/8 |
| 14.29% | 1/7 |
| 16.67% | 1/6 |
| 20% | 1/5 |
| 22.22% | 2/9 |
| 25% | 1/4 |
| 28.57% | 2/7 |
| 30% | 3/10 |
| 33.33% | 1/3 |
| 37.5% | 3/8 |
| 40% | 2/5 |
| 42.86% | 3/7 |
| 44.44% | 4/9 |
| 50% | 1/2 |
| 55.56% | 5/9 |
| 57.14% | 4/7 |
| 62.5% | 5/8 |
| 66.67% | 2/3 |
| 60% | 3/5 |
| 70% | 7/10 |
| 71.43 | 5/7 |
| 75% | 3/4 |
| 77.78% | 7/9 |
| 80% | 4/5 |
| 83.33 | 5/6 |
| 85.71 | 6/7 |
| 87.5% | 7/8 |
| 88.89% | 8/9 |
| 90% | 9/10 |
Fraction to percent conversion ►