### Answers − Converting top heavy fractions to mixed numbers

#### 1. ^{9}/_{5} = 1 ^{4}/_{5}

9 ÷ 5 = 1 with remainder of 4. | |

The 4 becomes the numerator and the denominator is still 5 |

#### 2. ^{4}/_{3} = 1 ^{1}/_{3}

4 ÷ 3 = 1 with remainder of 1. | |

The 1 becomes the numerator and the denominator is still 3 |

#### 3. ^{3}/_{2} = 1 ^{1}/_{2}

3 ÷ 2 = 1 with remainder of 1. | |

The 1 becomes the numerator and the denominator is still 2 |

#### 4. ^{7}/_{4} = 1 ^{3}/_{4}

7 ÷ 4 = 1 with remainder of 3. | |

The 3 becomes the numerator and the denominator is still 4 |

#### 5. ^{11}/_{4} = 2 ^{3}/_{4}

11 ÷ 4 = 2 with remainder of 3. | |

The 3 becomes the numerator and the denominator is still 4 |

#### 6. ^{15}/_{6} = 2 ^{3}/_{6} = 2 ½

15 ÷ 6 = 2 with remainder of 3. | |

The 3 becomes the numerator and the denominator is still 6 The fraction ^{3}/_{6} part of the mixed number can be simplified to ½ |

#### Or

#### ^{15}/_{6} = ^{5}/_{2} = 2 ½

First simplify ^{15}/_{6} = ^{5}/_{2} | |

5 ÷ 2 = 2 with remainder of 1. | |

The 1 becomes the numerator and the denominator is 2 |

#### 7. ^{17}/_{8} = 2 ^{1}/_{8}

17 ÷ 8 = 2 with remainder of 1. | |

The 1 becomes the numerator and the denominator is still 8 |

#### 8. ^{18}/_{4} = 4 ^{2}/_{4} = 4 ½

18 ÷ 4 = 4 with remainder of 2. | |

The 2 becomes the numerator and the denominator is still 4 The fraction ^{2}/_{4} part of the mixed number can be simplified to ½ |

#### Or

#### ^{18}/_{4} = ^{9}/_{2} = 4 ½

First simplify ^{18}/_{4} = ^{9}/_{2} | |

9 ÷ 2 = 4 with remainder of 1. | |

The 1 becomes the numerator and the denominator is 2 |

#### 9. ^{27}/_{9} = 3

27 ÷ 9 = 3 |

#### 10. ^{81}/_{27} = 3

81 ÷ 27 = 3 |

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