Exercice 3 Calculer en simplifi ant au maximum. + 2 3_1 2 3 A= 3 2 + 4 3 2 7 B= 2 + 5 14 3 3 C=- 14 7 5 8 7 15 19 D=-+ 5 2 2 3 - Aider moi svp c’est pour demain

Réponse :

Explications étape par étape

Bonsoir

A = (2/3 - 1/3) / (3/4 + 2/3)

A = 1/3 / [(3 x 3)/(4 x 3) + (2 x 4)/(3 x 4)]

A = 1/3 / (9/12 + 8/12)

A = 1/3 / (17/12)

A = 1/3 x 12/17

A = (3 x 4)/(3 x 17)

A = 4/17

B = 2 + (2/7)/(5/14)

B = 2 + 2/7 x 14/5

B = 2 + 14/7 x 2/5

B = 2 + (2 x 7)/7 x 2/5

B = 2 + 2/7 x 2/5

B = (2 x 35)/35 + 4/35

B = 70/35 + 4/35

B = 74/35

C = -3/14 - 3/(7/5) + 2

C = -3/14 - 3 x 5/7 + 2

C = -3/14 - 15/7 + 2

C = -3/14 - 30/14 + 28/14

C = -5/14

D = 7/5 + (8/15)/(2/3) - 19/2

D = 7/5 + 8/15 x 3/2 - 19/2

D = 7/5 + 8/2 x 3/15 - 19/2

D = 7/5 + (2 x 4)/2 x 3/(3 x 5) - 19/2

D = 7/5 + 4 x 1/5 - 19/2

D = (7 x 2)/(5 x 2) + (4 x 2)/(5 x 2) - (19 x 5)/(5 x 2)

D = 14/10 + 8/10 - 95/10

D = -73/10