Bonjour
ex1: Calculer et réduire :
A= -7/9 + 1/3
A = - 7/9 + (1 x 3) / (3 x 3)
A = - 7/9 + 3/9
A = - 4/9
B= -2/3 - 1/-6 + -7/12
B = (- 2 x 4) / (3 x 4) + (1 x 2) / (6 x 2) - 7/12
B = - 8/12 + 2/12 - 7/12
B = - 15/12 + 2/12
B = - 13/12
C= (-5/6) + (15/-20) - (10/24)
C = (- 5 x 20) / (6 x 20) - (15 x 6) / (20 x 6) - (10 x 5) / (24 x 5)
C = - 100/120 - 90/120 - 50/120
C = - 240/120
C = (120 x - 2) / (120 x 1)
C = - 2.
D= 5/4 + 1/4 × 3/2 + 5/6 ÷ -2/24
D = 5/4 + 3/8 + 5/6 x - 24/2
D = 5/4 + 3/5 -120/12
D = 5/4 + 3/4 - (12 x 10) / (12 x 1)
D = 8/4 - 10
D = 8/4 - (10 x 4) / (1 x 4)
D = 8/4 - 40/4
D = - 32/4
D = (4 x - 8) / (4 x 1)
D = - 8.
Ex2: Enlever les parenthèses puis calculer :
E= 3/5 - (1/2 - 1/10)
E = 3/5 - [(1 x 5) / (2 x 5) - 1/10]
E = 3/5 - (5/10 - 1/10)
E = 3/5 - 4/10
E = (3 x 2) / (5 x 2) - 4/10
E = 6/10 - 4/10
E = 2/10
E = (2 x 1) / (2 x 5)
E = 1/5
F= (2/3 - 1/6) - (5/4 -1/8)
F = [(2 x 2) / (3 x 2) - 1/6] - [(5 x 2) / (4 x 2) - 1/8]
F = (4/6 - 1/6) : (10/8 - 1/8)
F = 3/6 : 9/8
F = 3/6 x 8/9
F = 24/54
F = (6 x 4) / (6 x 9)
F = 4/9
G=[3/5-(1/2-1/10)] - [5/6-(1/2-1/10)]
G = [(3 x 2) / (5 x 2) - [(1 x 5) / (2 x 5) - 1/10)] - [(5/6 - [(1 x 5) / (2 x 5) - 1/10]
G = [6/10 - (5/10 - 1/10] - [5/6 - (5/10 - 1/10)]
G = (6/10 - 4/10) - (5/6 - 4/10)
G = 2/10 - (5/6 - 4/10)
G = (2 x 3) / (10 x 3) - [(5 x 5) / (6 x 5) - (4 x 3) / (10 x 3)]
G = 6/30 - (25/30 - 12/30)
G = 6/30 - 13/30
G = - 7/30.
Ex3: Calculer et réduire :
A= -6/30 ÷ -7/-35
A = - 6/30 x 35/7
A = - 210/210
A = - 1
B= -7/15 × 13/-21 × -30/26
B = 91/315 x - 30/26
B = - 2 730/8 190
B = (2 730 x - 1) / (2 730 x 3)
B = - 1/3
C= 1/1+2/3
C = (1 x 3) / (1 x 3) + 2/3
C = 3/3 + 2/3
C = 5/3
D= 1+1/5/1-1/5 × 1+1/7 /1-1/7 --> Pas de différence entre : et /
