Mathématiques

Question

Bonjour j'ai besoin d'aide à cet exercice svp. Merci d'avance.

A= 1/2+3/4-5/6

B= 40/9-(4/3-2/9)

C= 2-(3/2-1/4)
 
D= (7/10-1/4)-(3/5-3/4)

1 Réponse

  • A = 1/2 + 3/4 - 5/6
    A = 1 x 6 / 2 x 6 + 3 x 3 / 4 x 3 - 5 x 2 / 6 x 2
    A = 6/12 + 9/12 - 10/12
    A = 6/12
    A = 6 x 1 / 6 x 2
    A = 1/2

    B = 40/9 - (4/3 - 2/9)
    B = 40/9 - (4 x 3 / 3 x 3 - 2/9)
    B = 40/9 - (12/9 - 2/9)
    B = 40/9 - 10/9
    B = 30/9
    B = 3 x 10 / 3 x 3
    B = 10/3

    C = 2 - (3/2 - 1/4)
    C = 2 - (3 x 2 / 2 x 2 - 1/4)
    C = 2 - (6/4 - 1/4)
    C = 2 - (5/4)
    C = 2 x 4 / 1 x 4 - 5/4
    C = 8/4 - 5/4
    C = 3/4

    D = (7/10 - 1/4) - (3/5 - 3/4)

    D = (7 x 2 / 10 x 2 - 1 x 5 / 4 x 5) - (3 x 4 / 5 x 4 - 3 x 5 / 4 x 5)
    D = (14/20 - 5/20) - (12/20 - 15/20)
    D = 9/20 - (- 3/20)
    D = 9/20 + 3/20
    D = 12/20
    D = 4 x 3 / 4 x 5
    D = 3/5

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