Calculer les expressions suivantes et donner les résultats sous forme d une fraction irréductible A= 3/4*8/9+1. B= 3/2*5-6/7. C= 24-2*8+3(14-2) D= 5/2-1.

A = 3/4 × 8/9 + 1
A = 2/3 + 1 
A = 2/3 + 3/3
A = 5/3 

B = 3/2 × 5 - 6/7
B = 15/2 - 6/7 
B = 105/14 - 12/14
B = 93/14

C = 24 - 2 × 8 + 3 (14 - 2)
C = 24 - 2 × 8 + 42 - 6
C = 24 - 16 + 42 - 6 
C = 44

D = 5/2 - 1
D = 5/2 - 2/2
D = 3/2

E = 3 + 1/3 × 6/5 - 3/5
E = 3 + 2/5 - 3/5
E = 15/5 + 2/5 - 3/5
E = 14/5

F = (1/2 - 1/3) ÷ 2/3 + 1
F = (3/6 - 2/6) ÷ 2/3 + 1
F = 1/6 ÷ 2/3 + 1
F = 1/6 × 3/2 + 1
F = 1/4 + 1
F = 1/4 + 4/4 
F = 5/4

A = 3/4 * 8/9 + 1
A = 24/36 + 1
A = 24/36 + 1 x 36 / 1 x 36
A = 24/36 + 36/36
A = 60/36
A = 12 x 5 / 12 x 3
A = 5/3

B = 3/2 * 5 - 6/7
B = 15/2 - 6/7
B = 15 x 7 / 2 x 7 - 6 x 2 / 7 x 2
B = 105/14 - 12/14
B = 93/14

C = 24 - 2 * 8 + 3 (14 - 2)
C = 24 - 16 + 3 (12)
C = 24 - 16 + 36
C = 24 + 36 - 16
C = 60 - 16
C = 44

D =  5/2 - 1
D = 5/2 - 1 x 2 / 1 x 2
D = 5/2 - 2/2
D = 3/2

E = 3 + 1/3 * 6/5 - 3/5
E = 3 + 6/15 - 3/5
E = 3 x 15 / 1 x 15 + 6/15 - 3 x 3 / 5 x 3
E = 45/15 + 6/15 - 9/15
E = 51/15 - 9/15
E = 42/15
E = 3 x 14 / 3 x 5
E = 14/5

F = (1/2 - 1/3) : 2/3 + 1
F = (1 x 3 / 2 x 3 - 1 x 2 / 3 x 2) : 2/3 + 1
F = (3/6 - 2/6) : 2/3 + 1
F = 1/6 : 2/3 + 1
F = 1/6 x 3/2 + 1
F = 3/12 + 1
F = 3/12 + 1 x 12 / 1 x 12
F = 3/12 + 12/12
F = 15/12
F = 3 x 5 / 3 x 4
F = 5/4