This fraction to percent calculator performs necessary arithmetic operations to convert any fraction (proper, improper, or mixed number) to its equivalent percentage notation.

## How to Use the Calculator?

- Enter the numerator and denominator of the fraction
- If it is a mixed number, you can also add the whole number
- Select the precision of the decimal point
- Tap ‘Calculate’ & get percentage number

## How to Convert Fraction to Percent?

**Step # 01:**Divide Numerator by Denominator to get the decimal notation**Step # 02:**Multiply the decimal number by**100**to get the percent value

### Mathematical Formula:

**Percent = p/q * 100**

where;

- p = Numerator
- q = Denominator

### Example:

Suppose we have the fraction as 4/5.

Percent = p/q * 100

Percent = 4/5 * 100

Percent = 0.8 * 100

Percent = 80

## Alternative Methods:

There are a couple of other ways by which you can convert fraction to percentage. These include:

### Shift Decimal Places 2 Places Right:

- Divide numerator by denominator to get the decimal number
- Now instead of multiplying it by 100, simply shift the decimal point 2 places right

### Example:

Convert 3/6 to its percent notation.

3/6 = 0.5

Percent = 0.5 (Shift decimal 2 places right) => 50%

### More Complicated Method:

- Simply find a whole number that gives 100 when multiplied by the denominator of the given fraction
- Multiply both numerator and the denominator by that number
- Write the new numerator with a percent sign (%)

### Example:

The given fraction is “2/20”

If we multiply 20 by 5, we get 100. So multiply both the numerator and the denominator by 5.

2/20 = 2*5/20*5

= 10/100

= 10% (As 1/100 represents percentage)

## Facts about Fractions to Percent Conversion:

- You can change a fraction to decimal form only by the long division method
- A mixed number is always equal to or greater than 1. This is why whenever you convert mixed fractions to percentage, the value will be greater than 100.

## Fraction to Percent Conversion Table:

Fraction |
Percent |

1/2 | 50 % |

1/3 | 33.33 % |

2/3 | 66.67 % |

1/4 | 25 % |

2/4 | 50 % |

3/4 | 75 % |

1/5 | 20 % |

2/5 | 40 % |

3/5 | 60 % |

4/5 | 80 % |

1/6 | 16.67 % |

2/6 | 33.33 % |

3/6 | 50 % |

4/6 | 66.67 % |

5/6 | 83.33 % |

1/7 | 14.285714 % |

2/7 | 28.571429 % |

3/7 | 42.857143 % |

4/7 | 57.142858 % |

5/7 | 71.428571 % |

6/7 | 85.714286 % |

1/8 | 12.5 % |

2/8 | 25 % |

3/8 | 37.5 % |

4/8 | 50 % |

5/8 | 62.5 % |

6/8 | 75 % |

7/8 | 87.5 % |

1/9 | 11.111111 % |

2/9 | 22.222222 % |

3/9 | 33.333333 % |

4/9 | 44.444444 % |

5/9 | 55.555556 % |

6/9 | 66.666667 % |

7/9 | 77.777778 % |

8/9 | 88.888889 % |

1/10 | 10 % |

2/10 | 20 % |

3/10 | 30 % |

4/10 | 40 % |

5/10 | 50 % |

6/10 | 60 % |

7/10 | 70 % |

8/10 | 80 % |

9/10 | 90 % |