Mathématiques

Question

exprimer sous forme de fraction irréductible :

4/5 - 2/3 : 1/4 - 2/3

15/8 x 2/21 x 49

A(x) = 2/3 x-2 - x + 1


2 Réponse

  • Exprimer sous forme de fraction irréductible :
    4/5 - 2/3 : 1/4 - 2/3
    = 4/5 - 2/3 x 4/1 - 2/3
    = 4/5 - 8/3 - 2/3
    = 4 x 3 / 5 x 3 - 8 x 5 / 3 x 5 - 2 x 5 / 3 x 5
    = 12/15 - 40/15 - 10/15
    = 12/15 - 50/15
    = 38/15

    15/8 x 2/21 x 49
    = 30/168 x 49
    = 1470/168
    = 42 x 35 / 42 x 4
    = 35/4


  • 4/5 - 2/3 : 1/4 - 2/3
    = 4/5 - 2/3 x 4/1 - 2/3
    = 4/5 - 8/3 - 2/3
    = 4 x 3 / 5 x 3 - 8 x 5 / 3 x 5 - 2 x 5 / 3 x 5
    = 12/15 - 40/15 - 10/15
    = 12/15 - 50/15
    = 38/15
    15/8 x 2/21 x 49
    = 30/168 x 49
    = 1470/168
    = 42 x 35 / 42 x 4
    = 35/4


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