This cake has **10 slices**. **One slice is one-tenth** or ^{1}⁄_{10} of the cake. **Two slices are two-tenths** or ^{2}⁄_{10} of the cake.

To change common fractions to decimal fractions, divide the **numerator** (on the top) by the **denominator** (on the bottom).

COMMON FRACTION | DECIMAL FRACTION |

^{1}⁄_{10} | 0.1 |

^{2}⁄_{10} = ^{2}⁄_{5} | 0.2 |

^{3}⁄_{10} | 0.3 |

^{4}⁄_{10} = ^{2}⁄_{5} | 0.4 |

^{5}⁄_{10} = ^{1}⁄_{2} | 0.5 |

^{6}⁄_{10} = ^{3}⁄_{5} | 0.6 |

^{7}⁄_{10} | 0.7 |

^{8}⁄_{10} = ^{4}⁄_{5} | 0.8 |

^{9}⁄_{10} | 0.9 |

^{1}⁄_{4} | 0.25 |

^{3}⁄_{4} | 0.75 |

^{1}⁄_{8} | 0.125 |

^{3}⁄_{8} | 0.375 |

^{5}⁄_{8} | 0.625 |

^{7}⁄_{8} | 0.875 |

COMMON FRACTION | DECIMAL FRACTION |

^{1}⁄_{3} | 0.3 |

^{2}⁄_{3} | 0.6 |

^{1}⁄_{6} | 0.16 |

^{1}⁄_{9} | 0.1 |

^{1}⁄_{11} | 0.09 |

Use a **calculator** to change these common fractions to decimal fractions.
**Divide** the top number by the bottom number.

Round each answer to **two decimal places**.

**Q1.** ^{3}⁄_{7}
**Q2.** ^{4}⁄_{23}
**Q3.** ^{5}⁄_{13}
**Q4.** ^{6}⁄_{7}
**Q5.** ^{7}⁄_{13}

**Answers**
**A1.** 0.43
**A2.** 0.17
**A3.** 0.38
**A4.** 0.86
**A5.** 0.54

^{1}⁄_{7} = 0.142857 142857 142857...

^{1}⁄_{17} = 0.0588235294117647 0588235294117647 0588235294117647 ...

^{1}⁄_{27} = 0.037 037 037...

^{1}⁄_{37} = 0.027 027 027...

Use a computer calculator to find the repeating part in these decimals: ^{1}⁄_{9}, ^{2}⁄_{9}, ^{3}⁄_{9},
^{4}⁄_{9}, ^{5}⁄_{9}, ^{6}⁄_{9}, ^{7}⁄_{9},
^{8}⁄_{9}, ^{1}⁄_{11}, ^{2}⁄_{11}, ^{3}⁄_{11} and so on. What do you notice?