Mathématiques

Question

calculer sous forme fractionnaire :

A = - 3/5 : 5/2 +13/40

B = 8/3+2/3 : 5/7

2 Réponse

  • Calculer sous forme fractionnaire :

    A = - 3/5 : 5/2 + 13/40
    A = -3/5 x 2/5 + 13/40
    A = -6/25 + 13/40
    A = -6 x 40 / 25 x 40 + 25 x 13 / 25 x 40
    A = -240/1000 + 325/1000
    A = 85/1000
    A = 5 x 17 / 5 x 200
    A = 17/200

    B = 8/3 + 2/3 : 5/7

    B = 8/3 + 2/3 x 7/5
    B = 8/3 + 14/15
    B = 8 x 5 / 3 x 5 + 14/15
    B = 40/15 + 14/15
    B = 54/15
    B = 3 x 18 / 3 x 5
    B = 18/5
  • A = - 3/5 : 5/2 + 13/40
    = -3/5 x 2/5 + 13/40
    = -6/25 + 13/40
    = -240/1 000 + 325/1 000
    = 85/1 000
    = 17/200 <== Sous forme simplifié

    B = 8/3 + 2/3 : 5/7
    = 8/3 + 2/3 x 7/5
    = 8/3 + 14/15
    = 40/15 + 14/15
    = 54/15
    = 18/5 <== Sous forme simplifié

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