bonjour povez vous m'aider a résoudre cette exercice. merci d'avance Calculer en respectant les règles et les propriétés: A=2/3+7/3×‐9/4 B=(2‐5/8)

Bonjour,

Calculer en respectant les règles et les propriétés :

A=2/3+7/3×‐9/4

A = 2/3 - 63/12

A = (2 x 4) / (3 x 4) - 63/12

A = 8/12 - 63/12

A = - 55/12

B=(2‐5/8)÷3/4

B = [(2 x 8) / (1 x 8) - 5/8] : 3/4

B = (16/8 - 5/8) : 3/4

B = 11/8 : 3/4

B = 11/8 x 4/3

B = 44/24

B = (4 x 11) / (4 x 6)

B = 11/6.

C=(4/5‐2)×(3/4‐2/3)

C = [4/5 - (2 x 5) / (1 x 5)] x [(3 x 3) / (4 x 3) - (2 x 4) / (3 x 4)]

C = (4/5 - 10/5) x (9/12 - 8/12)

C = - 6/5 x 1/12

C = - 6/60

C = (6 x - 1) / (6 x 10)

C = - 1/10.

D= 2/13‐5/13÷10/16

D = 2/13 - 5/13 x 16/10

D = (2 x 10) / (13 x 10) - 80/130

D = 20/130 - 80/130

D = - 60/130

D = (10 x - 6) / (10 x 13)

D = - 6/13.

Réponse :

Bonjour

Explications étape par étape

A = 2/3 +7/3 X -9/4

A = 2/3 -63/12

A = 2/3 X 4/4 -63/12

A = 8/12 -63/12

A = -55/12

B = (2 -5/8) : 3/4

B = (2 X 8/8 -5/8) : 3/4

B = 16/8 -5/8 : 3/4

B = 11/8 X 4/3

B = 44/24 = 11/6

C = (4/5 -2) X (3/4 -2/3)

C = (4/5 -2 X 5/5) X (3/4 X 3/3 -2/3 X 4/4)

C = (4/5 -10/5) X (9/12 -8/12)

C = -6/5 X 1/12

C = -6/60 = -1/10

D = 2/13 -5/13 : 10/16

D = 2/13 -5/13 X 16/10

D = 2/13 -80/130

D = 2/13 X 10/10 -80/130

D = 20/130 -80/130

D = -60/130 = -6/13