Mathématiques

Question

a: 5/18-(5/36-1/36)         b: 17/12-(11/12-1/3)            c:11/6-2/3+1/6     d:23/8-3/4-1/2    aider moi svp c pour demain c'est un dm aidder moi svp


2 Réponse

  • a: 5/18 - (5/36 - 1/36)
    = 5/18 - 4/36
    = 5 x 2 / 18 x 2 - 4/36
    = 10/36 - 4/36
    = 6/36
    =  6 x 1 / 6 x 6
    = 1/6      

    b: 17/12 - (11/12 - 1/3)
    = 17/12 - (11/12 - 1 x 4 / 3 x 4)
    = 17/12 - (11/12 - 4/12)
    = 17/12 - (7/12)
    = 10/12
    = 2 x 5 / 2 x 6
    = 5/6
               

    c: 11/6 - 2/3 + 1/6
    = 11/6 - 2 x 2 / 3 x 2 + 1/6
    = 11/6 - 4/6 + 1/6
    = 12/6 - 4/6
    = 8/6
    = 2 x 4 / 2 x 3
    = 4/3    

    d : 23/8 - 3/4 - 1/2
    = 23/8 - 3 x 2 / 4 x 2 - 1 x 4 / 2 x 4
    = 23/8 - 6/8 - 4/8
    = 23/8 - 10/8
    = 13/8 

  • a) 5/18 - (5/36 - 1/36)
    = 5/18 - 4/36
    = 5x2 / 18x2 - 4/36
    = 10/36 - 4/36
    = 6/36
    = 1x6 / 6x6
    = 1/6

    b) 17/12 - (11/12 - 1/3)
    = 17/12 - (11/12 - 1x4 / 3x4)
    = 17/12 - (11/12 - 4/12)
    = 17/12 - 7/12
    = 10/12
    = 5x2 / 6x2
    = 5/6

    c) 11/6 - 2/3 + 1/6
    = 11/6 - 2x2 / 3x2 + 1/6
    = 11/6 - 4/6 + 1/6
    = 7/6 + 1/6
    = 8/6
    = 4x2 / 3x2
    = 4/3

    d) 23/8 - 3/4 - 1/2
    = 23/8 - 3x2/ 4x2 - 1x4 / 2x4
    = 23/8 - 6/8 - 4/8
    = 17/8 - 4/8
    = 13/8

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