Bonjour
Calculer les expressions suivantes et donner le résultat sous formes d'une fraction irréductible.
A = 2 + 8 : (9 + 5/19)
A = 2 + 8 : [(9 x 19) / (1 x 19) + 5/19]
A = 2 + 8 : (171/19 + 5/19)
A = 2 + 8 : 176/19
A = 2 + 8 x 19/176
A = 2 + 152/176
A = (2 x 22) / (1 x 22) + (8 x 19) / (8 x 22)
A = 44/22 + 19/22
A = 63/22
B = 1 + (1/8 + 3/4 - 1/12) : (5/6 + 1/3 + 2)
B = 1 + [(1 x 3) / (8 x 3) + (3 x 6) / (4 x 6) - (1 x 2) / (12 x 2)] : [5/6 + (1 x 2) / (3 x 2) + (2 x 6) / (1 x 6)]
B = 1 + (3/24 + 18/24 - 2/24) : (5/6 + 2/6 + 12/6)
B = 1 + 19/24 : 19/6
B = 1 + 19/27 x 6/19
B = 1 + 114/513
B = (1 x 9) / (1 x 9) + (57 x 2) / (57 x 9)
B = 9/9 + 2/9
B = 11/9
C = 5/12 : (7/3 x 8/15 - 5/6)
C = 5/12 : (56/45 - 5/6)
C = 5/12 : [(56 x 2) / (45 x 2) - (5 x 15) / (6 x 15)]
C = 5/12 : (112/90 - 75/90)
C = 5/12 : 37/90
C = 5/12 x 90/37
C = 450/444
C = (6 x 75) / (6 x 74)
C = 75/74.
