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Exercice 1
A = 5/3 + 15/8 x 16/9
A = 5/3 + 240/72
A = 5/3 + 24 x 10 / 24 x 3
A = 5/3 + 10/3
A = 15/3
A = 3 x 5 / 3 x 1
A = 5

B = 3/4 - 5/4
       (4 - 1)
B = - 2/4 : 3
B = - 2/4 x 1/3
B = - 2/12
B = 2 x - 1 / 2 x 6
B = - 1/6

Exercice 3

C = (4x - 9) (3 - 2x) + (- x + 4) (10x - 3)
C = 12x - 8x² - 27 + 18x - 10x² + 3x + 40x - 12
C = - 8x² - 10x² + 12x + 18x + 3x + 40x - 27 - 12
C = - 2x² + 73x - 39

F = (2x - 3) - (4x - 5) (- x + 3)
F = 2x - 3x - (- 4x² + 12x + 5x - 15)
F = 2x - 3x + 4x² - 12x - 5x + 15
F = 4x² + 2x - 3x - 12x - 5x + 15
F = 4x² - 15x + 15