Bonjour
Calculer et donner le résultat sous forme d'une fraction irréductible.
A = 1/2 x 1/2 - 5/4 x 1/3
A = 1/4 - 5/12
A = (1 x 3) / (4 x 3) - 5/12
A = 3/12 - 5/12
A = - 2/12
A = (2x - 1) / (2 x 6)
A = - 1/6.
B = (1/3 - 3/4) : (1/4 - 4/3)
B = [(1 x 4) / (3 x 4) - (3 x 3) / (4 x 3)] : [(1x 3) / (4 x 3) - (4 x 4) / (3 x 4)]
B = (4/12 - 9/12) : (3/12 - 16/12)
B = - 5/12 : - 13/12
B = - 5/12 x - 12/13
B = 60/156
B = (12 x 5) / (12 x 13)
B = 5/13.
C = (3/4 - 5/8) - [7/6 - (- 3/2 - 2)]
C = [(3 x 2) / (4 x 2) - 5/8] - [7/6 - [- 3/2 - (2 x 2) / (1 x 2)]]
C = (6/8 - 8/8) - (7/6 - (- 3/2 - 4/2)]
C = - 2/8 - (7/6 - (- 7/2)]
C = - 2/8 - [7/6 + (7 x 3) / (2 x 3)]
C = - 2/8 - (7/6 + 21/6)
C = - 2/8 - 28/6
C = (- 2 x 3) / (8 x 3) - (28 x 4) / (6 x 4)
C = - 6/24 - 112/24
C = - 118/24
C = (2 x - 59) / (2 x 12)
C = - 59/12.
