Home > Pre-Algebra > Decimals > Converting Fractions to Decimals

## Converting Fractions to Decimals

#### Introduction

#### Terms

**Decimal**- A number greater than any whole number.

**Fraction**- A part of a whole can be expressed as a fraction.

**Decimal Fraction**- The un-simplified form of a fraction that has been converted from a decimal.

**Simplified Fraction**- A fraction that has been reduced to the lowest possible whole numbers.

## Examples

#### Converting Fractions to Decimals (Example #1)

$\dfrac{47}{1000}$

4 | 7 | 0 | ||||

1000 | 4 | 7 | 0 | 0 | 0 | 0 |

- | 4 | 0 | 0 | 0 | ||

7 | 0 | 0 | 0 | |||

- | 7 | 0 | 0 | 0 | ||

0 | 0 | |||||

- | 0 |

#### Converting Fractions to Decimals (Example #2)

$\dfrac{6}{10}$

6 | ||

10 | 6 | 0 |

- | 6 | 0 |

0 |

#### Converting Fractions to Decimals (Example #3)

$\dfrac{111}{1000}$

1 | 1 | 1 | ||||

1000 | 1 | 1 | 1 | 0 | 0 | 0 |

- | 1 | 0 | 0 | 0 | ||

1 | 1 | 0 | 0 | |||

- | 1 | 0 | 0 | 0 | ||

1 | 0 | 0 | 0 | |||

- | 1 | 0 | 0 | 0 | ||

0 |

#### Converting Fractions to Decimals (Example #4)

$\dfrac{45}{100}$

4 | 5 | |||

100 | 4 | 5 | 0 | 0 |

- | 4 | 0 | 0 | |

5 | 0 | 0 | ||

- | 5 | 0 | 0 | |

0 |