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Exercice 4

A = 5/4 - 3/2
A = 5/4 - 3 x 2 / 2 x 2
A = 5/4 - 6/4
A = -1/4

B = 9/10 + -5/2
B = 9/10 - 5/2
B = 9/10 - 5 x 5 / 2 x 5
B = 9/10 - 25/10
B = -16/10
B = 2 x -8 / 2 x 5
B = -8/5

C = 1 - 17/15
C = 1 x 15 / 1 x 15 - 17/15
C = 15/15 - 17/15
C = -2/15

D = 3 + - 7/5 - 17/20
D = 3 - 7/5 - 17/20
D = 3 x 20 / 1 x 20 - 7 x 4 / 5 x 4 - 17/20
D = 60/20 - 28/20 - 17/20
D = 60/20 - 45/20
D = 15/20
D = 5 x 3 / 5 x 4
D = 3/4

E = -1,3/-8 + 23/-1,6
E = -1,3 x 10 / -8 x 10 + 23 x 10 / -1,6 x 10
E = -13/-80 + 230/-16
E = 13/80 + 230 x 5 / -16 x 5
E = 13/80 - 1150/80
E = -1137/80

F = -4 + 16/3- - 11/12
F = -4 + 16/3 + 11/12
F = -4 x 12 / 1 x 12 + 16 x 4 / 3 x 4 + 11/12
F = -48/12 + 64/12 + 11/12
F = -48/12 + 75/12
F = 27/12
F = 3 x 9 / 3 x 4
F = 9/4

M = 7/8 - - 5/3
M = 7/8 + 5/3
M = 7 x 3 / 8 x 3 + 5 x 8 / 3 x 8
M = 21/24 + 40/24
M = 61/24

N = -8/15 + -7/6
N = -8 x 2 / 15 x 2 - 7 x 5 / 6 x 5
N = -16/30 - 35/30
N = -51/30
N = 3 x - 17/ 3 x 10
N = -17/10

O = -3/10 + -9/8 + 7/5 + 3/2
O = -3 x 4 / 10 x 4 - 9 x 5 / 8 x 5 + 7 x 8 / 5 x 8 + 3 x 20 / 2 x 20
O = -12/40 - 45/40 + 56/40 + 60/40
O = -57/40 + 116/40
O = 59/40

P = 1/-8 + 5/4+ -7/6
P = 1 x 3 / -8 x 3 + 5 x 6 / 4 x 6 - 7 x 4 / 6 x 4
P = 3/-24 + 30/24 -28/24
P = -3/24 + 30/21 - 28/24
P = -31/24 + 30/24
P = -1/24

Q = 1 + -15/7+ - 3/ -5
Q = 1 - 15/7 + 3/5
Q = 1 x 35 /1 x 35 - 15 x 5 / 7 x 5 + 3 x 7 / 5 x 7
Q = 35/35 - 75/35 + 21/35
Q = 56/35 - 75/35
Q = - 19/35

R = -2 + 5/6 - 23/10 - 3/-5
R = -2 + 5/6 - 23/10 + 3/5
R = -2 x 30 / 1 x 30 + 5 x 5 / 6 x 5 - 23 x 3 / 10 x 3 + 3 x 6 / 5 x 6
R = -60/30 + 25/30 -69/30 + 18/30
R = -129/30 + 43/30
R = - 86/30
R = 2 x  - 43 / 2 x 15
R = -43/15