Mathématiques

Question

bonjour, est-ce possible que quelqu’un me le fasse svp j’ai pas compris merci d’avance !
bonjour, est-ce possible que quelqu’un me le fasse svp j’ai pas compris merci d’avance !

1 Réponse

  • Bonjour

    Pyramide multiplicative :

    …………..| …A |

    ……….| .B …| ..C |

    …….| D |… E | ….F |

    .| 1/2 | 2/3 | 3/4 | 4/5 |

    D = 1/2 x 2/3 = 1/3

    E = 2/3 x 3/4 = 2/4 = 2/(2 x 2) = 1/2

    F = 3/4 x 4/5 = 3/5

    B = 1/3 x 1/2 = 1/6

    C = 1/2 x 3/5 = 3/10

    A = 1/6 x 3/10 = 3/(2 x 3 x 10) = 1/20

    …………..| 1/20 |

    ……….| .1/6…| 3/10|

    …….| 1/3 | 1/2 | 3/5 |

    .| 1/2 | 2/3 | 3/4 | 4/5 |

    …………..| …A |

    ……….| .B …| ..C |

    …….| 5/3 |… D | 1/5 |

    .| 1/2 | …E…..| 3/4 | F |

    E x 1/2 = 5/3

    E = 5/3 / (1/2) = 5/3 x 2 = 10/3

    D = 10/3 x 3/4 = 10/4 = (2 x 5)/(2 x 2) = 5/2

    3/4 x F = 1/5

    F = 1/5 / (3/4) = 1/5 x 4/3 = 4/15

    B = 5/3 x 5/2 = 25/6

    C = 5/2 x 1/5 = 1/2

    A = 25/6 x 1/2 = 25/12

    …………..| 25/12 |

    ……….| .25/6 | 1/2 |

    …….| 5/3 | 5/2 | 1/5 |

    .| 1/2 | 10/3.| 3/4 | 4/15 |