Mathématiques

Question

Bonjour, aidez moi pour un dm en maths svp.
1) Calculer et donner le résultat sous la forme la plus simple.

a) 2/3 × 3/7× 7/11
b) 10/6 × 14/5 × 3/7
c) 8/15 × 35/12 × 9/21
d) 27/63 × 13 ×54/26
merci

2 Réponse

  • a) 2/3 × 3/7 × 7/11 
    = 2×3/3×7 × 7/11
    = 6//21 × 7/11
    = 6×7/21×11
    = 42/231
    = 42÷21/231÷21
    = 2/11

    b) 10/6 × 14/5 × 3/7
    = 10×14/6×5 × 3/7
    = 140/30 × 3/7
    = 140×3/30×7
    = 420/210
    = 420÷210/210÷210
    = 2/1
    = 2

    c) 8/15 × 35/12 × 9/21
    = 8×35/15×12 × 9/21
    = 280/180 × 9/21
    = 280×9/180×21
    = 2 520/3 780
    = 2 520÷60/780÷60
    = 42/13

    d) 27/63 × 13 ×54/26
    = 27/63 × 13/1 × 54/26
    = 27×13/63×1 × 54/26
    = 351/63 × 54/26
    = 351×54/63×26
    = 18 954/1 638
    = 18 954÷234/1 638÷234
    = 81/7

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