### Answers − Converting a Fraction into a Percentage

#### 1. ^{17}/_{50} =

(a) Simplify the fraction: ^{17}/_{50} is already simplified |

(b) 100 ÷ 50 = 2 (50 is the denominator of the fraction) |

(c) ^{17}/_{50} × ^{2}/_{2} = ^{34}/_{100} = 34% |

#### 2. ^{18}/_{20} =

(a) Simplify the fraction: ^{18}/_{20} = ^{9}/_{10} |

(b) 100 ÷ 10 = 10 (10 is the denominator of the fraction) |

(c) ^{9}/_{10} × ^{10}/_{10} = ^{90}/_{100} = 90% |

#### 3. ^{400}/_{800} =

(a) Simplify the fraction: ^{400}/_{800} = ^{1}/_{2} |

(b) 100 ÷ 2 = 50 (2 is the denominator of the fraction) |

(c) ^{1}/_{2} × ^{50}/_{50} = ^{50}/_{100} = 50% |

#### 4. ^{140}/_{300} =

(a) Simplify the fraction: ^{140}/_{300} = ^{7}/_{15} |

(b) 100 ÷ 15 = 6.67 (15 is the denominator of the fraction) |

(c) ^{7}/_{15} × ^{6.67}/_{6.67} = ^{46.67}/_{100} = 46.67% |

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