Mathématiques

Question

A = 9/5 + 2/5 * 11/4

B = 8/3 - 8/3 * 9/16 

C = 8/3 - 5/7 : 20/21 

D = 1/7 + 6/5 : 12/35

1 Réponse

  • Faire les multiplications et les divisions d'abord.
    A = 9/5 + 2/5 × 11/4
       = 9/5 + 2×11/5×4
       = 9/5 + 22/20
       = 9×4/5×4 + 22/20
       = 36/20 + 22/20
       = 58/20
       = 29/10

    B = 8/3 - 8/3 × 9/16
        = 8/3 - 8×9/3×16
        = 8/3 - 72/48
        = 8×16/3×16 - 72/48
        = 128/48 - 72/16
        = 56/16
        = 7/2

    C =  8/3 - 5/7 ÷ 20/21 
        = 8/3 - 5/7 
    × 21/21
        = 8/3 - 5
    ×21/7×20
        = 8/3 - 105/140
        = 8/3 - 3/4
        = 8×4/3×4 - 3×3/4×3
        = 32/12 - 9/12
        = 23/12

    D = 1/7 + 6/5 ÷ 12/35
        = 1/7 + 6/5 
    × 35/12
        = 1/7 + 6
    ×35/5×12
        = 1/7 + 210/60
        = 1×60/7×60 + 210×7/60×7
        = 60/420 + 1 470/420
        = 1 530/420
        = 1 530÷30/420÷30
        = 51/14

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