Mathématiques

Question

Calculs avec relatifs et fractions. Donner le résultat sous la forme la plus simple
A=1-(1/3-5/4)-(-5/6+1/2)
B=7/20-2/15-9/30
C=-(-1/2)-(+3/4)+(-1/10)
D=1/4-(9/10-5/3*6/25)
E=-(-1/2-(-1/4-1/8))
F= -11/18+13/12-1

2 Réponse

  • bonjour

    a = 1 - ( 4/12 - 15/12) - ( - 5/6 + 3/6)
    a = 1 - ( - 11 /12) - ( - 2/6)
    a = 12/12 + 11/12 + 4/12
    a = 27/12 = 9/4

    b =  7/20 - 2/15 - 9/30
    b = 21/60 - 8/60 - 18/60
    b = - 5/60 = - 1/12

    c = - (- 1/2) - 3/4 - 1/10
    c = 1/2 - 3/4 - 1/10
    c =  10/20 - 15/20 - 2/20
    c = - 7/20

    d = 1/4 - ( 9/10 - 5/3 x 6/25)
    d = 1/4 - ( 9/10 - 30/75)
    d = 1/4 - ( 9/10 - 2/5)
    d = 1/4 - ( 9/10 - 4/10)
    d = 1/4 - 5/10
    d = 5/20 - 10/20
    d = - 5 /20 = - 1/4

    E = - (-1/2-(-1/4-1/8))
    E = - ( - 1/2 - (2/8 - 1/8))
    E = - ( - 1/2 - 1/8)
    E = 4/8 + 1/8
    E = 5/8

    F= -11/18+13/12-1
    F = - 22/36 + 39/36 - 36/36
    F = - 19/36
  • Exercice:

    A= 1-(1/3-5/4)-(-5/6+1/2) = 12/12+11/12+10/12+6/12 = 39/12

    B= 7/20-2/15-9/30 = 42/120-16/120-36/120 = -10/120 = -1/12

    C= -(-1/2)-(+3/4)+(-1/10) = 10/20-15/20+(-2/20) = -7/20

    D= 1/4-(9/10-5/3*6/25) = 1/4-(9/10- 30/75) = 1/4-2/4 = -1/4

    E= -(-1/2-(-1/4-1/8)) = 1/2+1/4-1/8 = 4/8+2/8-1/8 = 7/8

    F= -11/18+13/12-1 = -22/18 + 39/36 - 36/36 = 17/36  - 36/36 = -19/36

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