Mathématiques

Question

N° 69 page 57
A= entre parenthese 3/4-11/8 fermer la parenthese diviser par ouvrir parenthese 5/3- 7/4 fermer la parenthese.
B= 1/4 - 1/5 / 1/5-1/6
C= 2/3- ouvrir parenthese - 4/9+7/6 fermer parenthese
D = ouvrir parenthese 8/7-6/5 fermer parenthese x 7/4-2
Merci beaucoup pour votre aide

2 Réponse

  • bonjour,

    A) (3/4-11/8)/(5/3-7/4) =
    (6/8-11/8)/(20/12-21/12)=
    -5/8 divisé par -1/12 =
    -5/8*-12/1 = 60/8  = 15/2

    B) 1/4-1/5/1/5 -1/6 =
    1/4-1/5*5/1-1/6 =
    1/4-1-1/6 =
    (3-12-2)/12 = -11/12


    C) 2/3-(-4/9+7/6) =
    2/3 -(-24+63)/54 =
    2/3-(39/54) =
    2/3+13/18 =
    (12+13)/18 = 25/18 

    D) (8/7-6/5)*7/4 - 2 =
    -2/35*7/4 - 2 =
    -14/140 - 2 =
    -1/10 - 20/10 = -21/10


  • Bonjour,

    A = (3/4 - 11/8) : (5/3- 7/4)
    A = (3 x 2 / 4 x 2 - 11/8) : (5 x 4 / 3 x 4 - 7 x 3 / 4 x 3)
    A = (6/8 - 11/8) : (20/12 - 21/12)
    A = - 5/8 x - 1/12
    A = - 5/8 x - 12/1
    A = 60/8
    A = 4 x 15 / 4 x 2
    A = 15/2

    B = 1/4 - 1/5
           1/5-1/6
    B = 1 x 5 / 4 x 5 - 1 x 4 / 5 x 4
          1 x 6 / 5 x 6 - 1 x 5 / 6 x 5
    B = 5/20 - 4/20
          6/30 - 5/30
    B = 1/20 : 1/30
    B = 1/20 x 30/1
    B = 30/20
    B = 10 x 3 / 10 x 2
    B = 3/2

    C  = 2/3- (- 4/9+7/6)
    C = 2 x 6 / 3 x 6 - (- 4 x 2 / 9 x 2 + 7 x 3 / 6 x 3)
    C = 12/18 - (- 8/18 + 21/18)
    C = 12/18 - 13/18
    C = - 1/18

    D = (8/7-6/5) x 7/4-2
    D = (8 x 5 / 7 x 5 - 6 x 7 / 5 x 7) x 7/4 - 2
    D = (40/35 - 42/35) x 7/4 - 2
    D = - 2/35 x 7/4 - 2
    D = - 14/140 - 2
    D = - 14/140 - 2 x 140 / 1 x 140
    D = - 14/140 - 280/140
    D = - 266/140
    D = 14 x - 19 / 14 x 10
    D = - 19/10

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