When we multiply algebraic fractions, we try to reduce or cancel down any top term with a bottom term that has a common factor.

**Example**

Simplify:

a^{3} |
x | 5 |

10 | 7a^{2} |

**Answer**

We look for any top term which has a common factor with any bottom term.

If we find such a reduceable pair of terms, we divide them by their common factor.

a^{3} |
x | 5 |

10 | 7a^{2} |

= | a^{3} ÷ a^{2} |
x | 5 |

10 |
7a^{2} ÷ a^{2} |

= | a |
x | 5 |

10 |
7 |

= | a |
x | 5 ÷ 5 |

10 ÷ 5 |
7 |

= | a | x | 1 |

2 | 7 |

= | a |

14 |