An **improper **fraction is one that is **top-heavy**.

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

Let's look at this improper fraction:

17 |

5 |

17 ÷ 5 = 3 remainder 2

The remainder will be fifths, because we are dividing by 5.

5 goes into 17, 3 times and 2 fifths are left over.

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

5 | 5 | 5 | 5 | 5 |

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

17 | = | 3 | 2 |

5 | 5 |

**e.g. Change the following improper fraction to a mixed number:**

39 |

7 |

**Answer:**

39 ÷ 7 = 5 remainder 4

This is **5 wholes** and **4 sevenths**.

39 | = | 5 | 4 |

7 | 7 |

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

Why not watch this video?