In this worksheet, we will learn how to **reduce** **fractions**.

This process is often carried out at the end of a fraction calculation to make the fraction more simple.

If we** divide the top and the bottom of a fraction by the same number **we get an

*equivalent*fraction.

This is called **reducing **a fraction.

When we reduce a fraction as much as possible, it is called **reducing it to its lowest terms. **

We do this by dividing the top and the bottom by their **highest common factor.**

**Example 1**

Reduce this fraction to its lowest terms.

36 |

45 |

**Answer**

We look for the highest number that goes into 36 and 45.

This will be 9, because 4 × 9 = 36 and 5 × 9 = 36.

So we divide the top and the bottom numbers by the magic number 9, to get 4 and 5.

36 | = | 4 |

45 | 5 |

We cannot reduce this any further, so the answer is:

4 |

5 |

**Example 2**

Reduce this fraction to its lowest terms.

64 |

96 |

**Answer**

Sometimes it is hard to find the highest common factor.

We look for any number that goes into 64 and 96.

This could be 8, because 8 × 8 = 64 and 12 × 8 = 96.

So we divide the top and the bottom numbers by the magic number 8, to get 8 and 12.

64 | = | 8 |

96 | 12 |

Now we reduce again by looking for the highest number that goes into 8 and 12.

This is 4, because 2 × 4 = 8 and 3 × 4 = 12.

So we divide the top and the bottom numbers by the magic number 4, to get 2 and 3.

So the answer is:

2 |

3 |