Mathématiques

Question

Effectuer les calculs suivants et donner les résultats sous forme de fractions irréductibles:

A= 3/2 - 1/5 x 25/7 B= ( 2/8 - 3/5 ) / 3/10 C= 2 - ( 3 - 1/3 ) / ( 3 + 1/3 )

1 Réponse

  • Bonjour,

    A= 3/2 - 1/5 x 25/7
    A = 3/2 - 25/35
    A = 3 x 35 / 2 x 35 - 25 x 2 / 35 x 2
    A = 105/70 - 50/70
    A = 55/70
    A = 5 x 11 / 5 x 14
    A = 11/14

    B= ( 2/8 - 3/5 ) / 3/10
    B = (2 x 5 / 8 x 5 - 3 x 8 / 5 x 8) : 3/10
    B = (10/40 - 24/40) : 3/10
    B = - 14/40 x 10/3
    B = - 140/120
    B = 20 x - 7 / 20 x 6
    B = - 7/6

    C= 2 - ( 3 - 1/3 ) / ( 3 + 1/3 )
    C = 2 - (3 x 3 / 1 x 3 - 1/3) : (3 x 3 / 1 x 3 + 1/3)
    C = 2 - (9/3 - 1/3) : (9/3 + 1/3)
    C = 2 - 8/3 : 10/3
    C = 2 - 8/3 x 3/10
    C = 2 - 24/30
    C = 2 x 30 / 1 x 30 - 24/30
    C = 60/30 - 24/30
    C = 36/30
    C = 6 x 6 / 6 x 5
    C = 6/5

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