# Adding and Subtracting Fractions without a Common Denominator

**Example 6**

**Subtract**

The LCD is 18(x + 4)

multiply to get an LCD of

multiply to get an LCD of

subtract the numerators | |

over the LCD | |

distrubte the – | |

combine like terms in the numerator

**Example 7**

**Subtract**

factor each denominator

The LCD is 3x(x −2)

multiply to get an LCD of

multiply to get an LCD of

subtract the numerators | |

over the LCD | |

distrubte the – | |

combine like terms in the numerator

**Example 8**

**Subtract**

The LCD is (x −1)(x −2)

multiply to get an LCD of

multiply to get an LCD of

subtract the numerators | |

over the LCD | |

distrubte the – | |

combine like terms in the numerator

Factor the numerator

Does not reduce

**Example 9**

**Subtract**

factor each denominator

The LCD is 6(x +1)(x −1)

multiply to get an LCD of

multiply to get an LCD of

subtract the numerators | |

over the LCD | |

distrubte the – | |

combine like terms in the numerator