# Percent to Fraction conversion calculator

## 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*= 10^{d}Example:

*f*= 10^{2}= 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 |