Mathématiques

Question

a) -3/5-8/14+6/12=

B) 15/16-12/24+5/8=

C) 3/7-18/24+4/28=

D) -15/35-4/6+5/7=

E) 1/5+3/2+5/4=​

1 Réponse

  • Bonjour


    A) -3/5-8/14+6/12=
    = -3/5 - (2 x 4)/(2 x 7) + (1 x 6)/(2 x 6)

    = -3/5 - 4/7 + 1/2

    = (-3 x 7 x 2)/(5 x 7 x 2) - (4 x 5 x 2)/(7 x 5 x 2) + (1 x 5 x 7)/(2 x 5 x 7)

    = -42/70 - 40/70 + 35/70

    = -82/70 + 35/70

    = -47/40


    B) 15/16-12/24+5/8=

    = 15/16 - 12/(2 x 12) + 5/8

    = 15/16 - 1/2 + (5 x 2)/(8 x 2)

    = 15/16 - (1 x 8)/(2 x 8) + 10/16

    = 15/16 - 8/16 + 10/16

    = 25/16 - 8/16

    = 17/16


    C) 3/7-18/24+4/28=

    = 3/7 - (3 x 6)/(4 x 6) + 4/(7 x 4)

    = 3/7 - 3/4 + 1/7

    = 4/7 - (3 x 7)/(4 x 7)

    = (4 x 4)/(7 x 4) - 21/28

    = 16/28 - 21/28

    = -5/28


    D) -15/35-4/6+5/7=

    = -(3 x 5)/(7 x 5) - (2 x 2)/(2 x 3) + 5/7

    = -3/7 - 2/3 + 5/7

    = 2/7 - (2 x 7)/(3 x 7)

    = (2 x 3)/(7 x 3) - 14/21

    = 6/21 - 14/21

    = -8/21


    E) 1/5+3/2+5/4=​

    = (1 x 4)/(5 x 4) + (3 x 5 x 2)/(2 x 5 x 2) + (5 x 5)/(4 x 5)

    = 4/20 + 30/20 + 25/20

    = 59/20

    Image en pièce jointe de la réponse loulakar

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