# 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 calculator.
- Calculate the fraction's numerator divided by the fraction's 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

Calculate long division of the fraction's numerator divided by the fraction's denominator.

#### Example

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

0.75 | |

4 | 3 |

0 | |

30 | |

28 | |

20 | |

20 | |

0 |

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