Mathématiques

Question

Donnez le résultats en une fraction irréductible

À= 3/7-2/7x21/8

B=5/4-2/3x9/16

C=(2+2/3)÷(4/5-2/3)

D=(1-1/3-1/4)÷2/5

Aide moi svp Je ne comprends pas!

1 Réponse

  • A = 3/7 - 2/7 x 21/8
    A = 3/7 - 42/56
    A = 3 x 8 / 7 x 8 - 42/56
    A = 24/56 - 42/56
    A = - 18/56
    A = 2 x - 9 / 2 x 28
    A = - 9/28

    B = 5/4 - 2/3 x 9/16
    B = 5/4 - 18/48
    B = 5 x 12 / 4 x 12 - 18/48
    B = 60/48 - 18/48
    B = 42/48
    B = 6 x 7 / 6 x 8
    B = 7/8

    C = (2 + 2/3) ÷ (4/5 - 2/3)
    C = (2 x 3 / 1 x 3 + 2/3) : (4 x 3 / 5 x 3 - 2 x 5 / 3 x 5)
    C = (6/3 + 2/3) : (12/15 - 10/15)
    C = 8/3 : 2/15
    C = 8/3 x 15/2
    C = 120/6
    C = 6 x 20 / 6 x 1
    C = 20

    D = (1 - 1/3 - 1/4) ÷ 2/5
    D = (1 x 12 / 1 x 12 - 1 x 4 / 3 x 4 - 1 x 3 / 4 x 3) : 2/5
    D = (12/12 - 4/12 - 3/12) : 2/5
    D = (12/12 - 7/12) : 2/5
    D = 5/12 : 2/5
    D = 5/12 x 5/2
    D = 25/24

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