Mathématiques

Question

Calculer chaque expression en détaillant les étapes. Simplifier le résultat, si possible.

A= 3-2sur3/4sur3×7

B=-4/7:5/14+5/6

C=(1/5-8/15)×5/4

D=-4/7:5/14+5/6

E=-4/7:(5/14+5/6)

1 Réponse

  • Bonjour,

    A= 3-2/3 
         4/3×7
    A = 3 x 3 / 1 x 3 - 2/3
                   28/3
    A = 9/3 - 2/3 : 28/3
    A = 7/3 x 3/28
    A = 21/84
    A = 21 x 1 / 21 x 4
    A = 1/4

    B=-4/7:5/14+5/6
    B = - 4/7 x 14/5 + 5/6
    B = - 56/35 + 5/6
    B = 7 x - 8 / 7 x 5 + 5/6
    B = - 8/5 + 5/6
    B = - 8 x 6 / 5 x 6 + 5 x 5 / 6 x 5
    B = - 48/30 + 25/30
    B = - 23/30

    C=(1/5-8/15)×5/4
    C = (1 x 3 / 5 x 3 - 8/15) x 5/4
    C = (3/15 - 8/15) x 5/4
    C = - 5/15 x 5/4
    C = - 25/60
    C = 5 x - 5 / 5 x 12
    C = - 5/12

    D=Déjà fait en B

    E=-4/7:(5/14+5/6)
    E = - 4/7 : (5 x 6 / 14 x 6 + 5 x 14 / 6 x 14)
    E = - 4/7 : (30/84 + 70/84)
    E = - 4/7 : 100/84
    E = - 4/7 x 84/100
    E = - 336/700
    E = 28 x - 12 / 28 x 25
    E = - 12/25

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