Mathématiques

Question

Bonsoir, pouvez m'aider sur 3 exercices de calculs de fractions ? Je suis en 4ème. MERCI BEAUCOUP.
S= -4/15+(2+7/-30)
U=7/4-(-1/8-3/10)
W=3/4-(-5/12-1/3)+(-2-1/6)

2 Réponse

  • Bonsoir,

    S= -4/15+(2+7/-30)

    S = (- 4 x 2) / (15 x 2) + [(2 x 30) / (1 x 30) - 7/30]

    S = - 8/30 + (60/30 - 7/30)

    S = - 8/30 + 53/30

    S = 45/30

    S = (15 x 3) / (15 x 2)

    S = 3/2

    U=7/4-(-1/8-3/10)

    U = (7 x 10) / (4 x 10) - [(- 1 x 5) / (8 x 5) - (3 x 4) / (10 x 4)]

    U = 70/40 - (- 5/40 - 12/40)

    U = 70/40 - (- 17/40)

    U = 87/40

    W=3/4-(-5/12-1/3)+(-2-1/6)

    W = (3 x 3) / (4 x 3) - [- 5/12 - (1 x 4) / (3 x 4)] + [(- 2 x 12) / (1 x 12) - (1 x 2) / 6 x 2)]

    W = 9/12 - (- 5/12 - 4/12) + (- 24/22 - 2/12)

    W = 9/12 + 9/12 - 26/12

    W = - 8/12

    W = (4 x - 2) / (4 x 3)

    W = - 2/3.

  • Hello !

    S = -4/15+(2+7/-30)

    S = -4/15 + (60/30-7/30) = -4/15 + 53/30

    S = -8/30 + 53/30 = 45/30 = 3/2

    U = 7/4-(-1/8-3/10)

    U = 7/4-(-5/40-12/40) = 7/4-(-17/40)

    U = 7/4 + 17/40 = 70/40 + 17/40 = 87/40

    W = 3/4-(-5/12-1/3)+(-2-1/6)

    W = 3/4-(-5/12-4/12)+(-12/6-1/6)

    W = 3/4-(-9/12)-13/6 = 3/4+3/4-13/6

    W = 6/4-13/6 = 36/24-52/24 = -16/24 = -2/3

    Bonne soirée

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