In this worksheet, we will learn how to compare **fractions** whose **denominators** are all multiples of the same number.

We will not be converting the fractions to decimals, but will use the idea of equivalent fractions.

Remember, **multiply or divide the top and the bottom of a fraction by the same number **to change it to an

*equivalent*fraction.

**Example**

Is the following comparison **true** or **false**?

4 | > | 7 |

6 | 9 |

**Answer**

We look for the smallest number that 6 and 9 go into.

This will be 18, so we change both fractions into 18ths.

We multiply top and bottom of 4 sixths by 3:

4 | = | 12 |

6 | 18 |

We multiply top and bottom of 7 ninths by 2:

7 | = | 14 |

9 | 18 |

Now

12 | < | 14 |

18 | 18 |

So the statement

4 | > | 7 |

6 | 9 |

is** FALSE**.