A **mixed number** is made up of a whole number and a fraction.

Let's look at the mixed number below:

3 | 2 |

5 |

This is **3 wholes** and **2 fifths**.

3 wholes are the same as 5 fifths + 5 fifths + 5 fifths = 15 fifths.

15 fifths + 2 fifths = **17 fifths** in total.

5 | + | 5 | + | 5 | + | 2 | = | 17 |

5 | 5 | 5 | 5 | 5 |

A quick way is to this work out is: **3 x 5 + 2 =17**

3 | 2 | = | 17 |

5 | 5 |

**17/5 **is an **improper fraction **because it is **top-heavy**.

That means that the top number is bigger than the bottom number.

**e.g. convert the following mixed number into an improper fraction.**

5 | 4 |

7 |

**Answer:**

Work out 5 x 7 + 4 = 39

5 | 4 | = | 39 |

7 | 7 |

**The answer is 39/7**

Want to understand this further and learn how this links to other topics in maths?

Why not watch the video below?