# Unit Fraction Uniqueness 4

## If a unit fraction has an even denominator, then __doubling it(multiplying by 2)__ will cut the denominator in half!

### Observe the table below:

Unit Fraction | Unit Fraction Multiplied by 2 |

1/2 | 1/1 |

1/4 | 1/2 |

1/6 | 1/3 |

1/8 | 1/4 |

1/10 | 1/5 |

1/12 | 1/6 |

1/14 | 1/7 |

1/16 | 1/8 |

1/18 | 1/9 |

1/20 | 1/10 |

1/30 | 1/15 |

1/40 | 1/20 |

1/50 | 1/25 |

1/100 | 1/50 |

1/1,000 | 1/500 |

1/10^{6} | 1/500,000 |

1/d | 1/(½d) or 1/(d/2) |

**1/1 = 1**; surely, you already know that! **10**^{6} = 1,000,000 & half of that is **500,000.**

**1/d < 1/(½d) or 1/(d/2)** since making the denominator of a unit fraction bigger makes the fraction smaller. (Negative numbers unconsidered)

## I almost forgot something! Zero(0) is technically an even number, but since division by zero is undefined, the variable *d* can't be equal to zero!

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© Derek Cumberbatch