Mathématiques

Question

Svp calculer et simplifier au maximum les expressions suivantes. A= (1/9-1/7)x(7/3-1) B=(1/3+5/2)x(5/2-1/3) C=(1/3+1/4-7/24)x12/49 Svp c important!!!

1 Réponse

  • A = (1/9 - 1/7) x (7/3 - 1)
    A = (1 x 7 / 9 x 7 - 1 x 9 / 7 x 9) x (7/3 - 1 x 3 / 1 x 3)
    A = (7/63 - 9/63) x (7/3 - 3/3)
    A = - 2/63 x 4/3
    A = - 8/189

    B = (1/3 + 5/2) x (5/2 - 1/3)
    B = (1 x 2 / 3 x 2 + 5 x 3 / 2 x 3) x (5 x 3 / 2 x 3 - 1 x 2 / 3 x 2)
    B = (2/6 + 15/6) x (15/6 - 2/6)
    B = 17/6 x 13/6
    B = 221/36

    C = (1/3 + 1/4 - 7/24) x 12/49
    C = (1 x 8 / 3 x 8 + 1 x 6 / 4 x 6 - 7/24) x 12/49
    C = (8/24 + 6/24 - 7/24) x 12/49
    C = 7/24 x 12/49
    C = 84/1176
    C = 84 x 1 / 84 x 14
    C = 1/14

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