Mathématiques

Question

Bonjour
Pouvez vous m'aider pour cet exercice s'il vous plaît merci
Calculer
a. 5/2+3/4+-7/8
b. 4/15+2/5-7/30
c. 5/7- (3/2-5/4)

1 Réponse

  • Bonsoir,

    a. 5/2+3/4+-7/8
    = 5/2 - 3/4 - 7/8
    = (5 x 4) / (2 x 4) - (3 x 2) / (4 x 2) - 7/8
    = 20/8 - 3/8 - 7/8
    = 20/5 - 10/8
    = 10/8
    = (2 x 5) / (2 x 4) 
    = 5/4

    b. 4/15+2/5-7/30 
    = (4 x 2) / (15 x 2) + (2 x 6) / (5 x 6) - 7/30
    = 8/30 + 12/30 - 7/30
    = 20/30 - 7/30
    = 13/30

    c. 5/7- (3/2-5/4)
    = 5/7 - [(3 x 2) / (2 x 2) - 5/4]
    = 5/7 - (6/4 - 5/4)
    = 5/7 - 1/4
    = (5 x 7) / (7 x 4) - (1 x 7) / (4 x 7)
    = 35/28 - 7/28
    = 28/28
    = 1

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