__CONVERT FRACTION TO DECIMAL__

## How to convert fraction to decimal

## Method #1

Expand the denominator to be a power of 10.

#### Example #1

3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:

3 | = | 3×2 | = | 6 | = | 0.6 |

5 | 5×2 | 10 |

#### Example #2

3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

3 | = | 3×25 | = | 75 | = | 0.75 |

4 | 4×25 | 100 |

#### Example #3

5/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:

5 | = | 5×125 | = | 625 | = | 0.625 |

8 | 8×125 | 1000 |

## Method #2

- Use a calculator to divide the fraction’s numerator by the denominator.
- For mixed numbers add the integer.

#### Example #1

2/5 = 2÷5 = 0.4

#### Example #2

1 2/5 = 1+2÷5 = 1.4

## Method #3

Use long division to divide the fraction’s numerator by the fraction’s denominator.

#### Example

Calculate 3/4 by a long division of 3 divided by 4:

0.75 | |

4 | 3 |

0 | |

30 | |

28 | |

20 | |

20 | |

0 |

## Fraction to decimal conversion table

Fraction | Decimal |
---|---|

1/2 | 0.5 |

1/3 | 0.33333333 |

2/3 | 0.66666667 |

1/4 | 0.25 |

2/4 | 0.5 |

3/4 | 0.75 |

1/5 | 0.2 |

2/5 | 0.4 |

3/5 | 0.6 |

4/5 | 0.8 |

1/6 | 0.16666667 |

2/6 | 0.33333333 |

3/6 | 0.5 |

4/6 | 0.66666667 |

5/6 | 0.83333333 |

1/7 | 0.14285714 |

2/7 | 0.28571429 |

3/7 | 0.42857143 |

4/7 | 0.57142858 |

5/7 | 0.71428571 |

6/7 | 0.85714286 |

1/8 | 0.125 |

2/8 | 0.25 |

3/8 | 0.375 |

4/8 | 0.5 |

5/8 | 0.625 |

6/8 | 0.75 |

7/8 | 0.875 |

1/9 | 0.11111111 |

2/9 | 0.22222222 |

3/9 | 0.33333333 |

4/9 | 0.44444444 |

5/9 | 0.55555556 |

6/9 | 0.66666667 |

7/9 | 0.77777778 |

8/9 | 0.88888889 |

1/10 | 0.1 |

2/10 | 0.2 |

3/10 | 0.3 |

4/10 | 0.4 |

5/10 | 0.5 |

6/10 | 0.6 |

7/10 | 0.7 |

8/10 | 0.8 |

9/10 | 0.9 |

1/11 | 0.09090909 |

2/11 | 0.18181818 |

3/11 | 0.27272727 |

4/11 | 0.36363636 |

5/11 | 0.45454545 |

6/11 | 0.54545454 |

7/11 | 0.63636363 |

8/11 | 0.72727272 |

9/11 | 0.81818181 |

10/11 | 0.90909091 |