Mathématiques

Question

calculer sous forme fractionnaires et simplifié le résultat si possible :
a. 3sur8-(7sur3-3sur4)
b. 1sur2-(-8sur15+6sur5)
mercii de m'aidé

2 Réponse

  • a. 3sur8-(7sur3-3sur4) = 3/8-(28/12 -9/12) = 3/8 -(19/12) = 9/24-38/24 =29/24

    b. 1sur2-(-8sur15+6sur5) = 1/2-(-8/15+18/15) =1/2-(10/15) = 1/2 -2/3 = 3/6-4/6 = -1/6

  • a. 3/8 - (7/3 - 3/4)
    = 3/8 - (7 x 4 / 3 x 4 - 3 x 3 / 4 x 3)
    = 3/8 - (28/12 - 9/12)
    = 3/8 - 37/12
    = 3 x 3 / 8 x 3 - 37 x 2 / 12 x 2
    = 9/24 - 74/24
    = - 65/24

    b. 1/2 - (-8/15 + 6/5)

    = 1/2 - (- 8/15 + 6 x 3 / 5 x 3)
    = 1/2 - (- 8/15 + 18/15)
    = 1/2 - (10/15)
    = 1 x 15 / 2 x 15 - 10 x 2 / 15 x 2
    = 15/30 - 20/30
    = - 5/30
    = 5 x - 1 / 5 x 6
    = - 1/6

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