Simple examples of the fundamental principle of fractions.

See Definition of the fundamental principle of fractions.

Problem: Simplify the fraction

21 |
---|

35 |

Solution.

Divide the numerator and denominator of the fraction by 7

21 ÷ 7 | = | 3 |
---|---|---|

35 ÷ 7 | 5 |

The problem is solved.

Problem: Simplify the fraction

55 |
---|

5 |

Solution.

Divide the numerator and denominator of the fraction by 5

55 ÷ 5 | = | 11 | = 11 |
---|---|---|---|

5 ÷ 5 | 1 |

The problem is solved.

Problem: Simplify the fraction

12a + 6b |
---|

6a - 6b |

Solution.

Factor the numerator and denominator to reduce the fraction:

12a + 6b | = |
---|---|

6a - 6b |

6(2a + b) |
---|

6(a - b) |

Divide the numerator and denominator of the fraction by 6 (we cancel the common factor by this way)

6(2a + b) ÷ 6 | = |
---|---|

6(a - b) ÷ 6 |

2a + b |
---|

a - b |

The problem is solved.