Réponse :
Explications étape par étape
Bonsoir
calculer les expressions et donner le résultat sous la forme d’une fraction irréductible
A = 2 + 8/(9 + 5/19)
A = 2 + 8/(171/19 + 5/19)
A = 2 + 8/(176/19)
A = 2 + 8 x 19/176
A = 2 + 19/22
A = 44/22 + 19/22
A = 63/22
B = 1 + (1/8 + 3/4 - 1/12)/(5/6 + 1/3 + 2)
B = 1 + (3/24 + 18/24 - 2/24)/(5/6 + 2/6 + 12/6)
B = 1 + (19/24)/(19/6)
B = 1 + 19/24 x 6/19
B = 1 + 19/19 x 6/24
B = 1 + 1/4
B = 4/4 + 1/4
B = 5/4
C = (5/12)/(7/3 x 8/15 - 5/6)
C = (5/12)/(56/45 - 75/90)
C = (5/12) / (112/90 - 75/90)
C = 5/12 / (37/90)
C = 5/12 x 90/37
C = 90/12 x 5/37
C = 30/4 x 5/37
C = 150/148
C = 75/74