Bonjour. Pouvez-vous m'aider pour des fractions -2/9 - 14/9 x 3/7 = -7/3 x (2/5 - 1) = 1/4 + 1/5 x 5/4 2/5 + 2 : 5 Merci à vous

Bonjour

-2/9 - 14/9 x 3/7

= - 2/9 - 42/63

= - 2/9 - (7 x 6) / (7 x 9)

= - 2/9 - 6/9

= - 8/9

-7/3 x (2/5 - 1)

= - 7/3 x [2/5 - (1 x 5) / (1 x 5)]

= - 7/3 x (2/5 - 5/5)

= - 7/3 x (- 3/5)

= 21/15

= (3 x 7) / (3 x 5)

= 7/5

1/4 + 1/5 x 5/4

= (1 x 5) / (4 x 5) + 5/20

= 5/20 + 5/20

= 10/20

= (10 x 1) / (10 x 2)

= 1/2

2/5 + 2 : 5

= 2/5 x 5/2

= 10/10

= 1.

Réponse :

Bonjour,

Explications étape par étape :

A = -2/9 - 14/9 x 3/7

A = - 2/9 - 42/63

A = - 2/9 - (7 x 6) / (7 x 9)

A = - 2/9 - 6/9

A = - 8/9

B = -7/3 x (2/5 - 1)

B = - 7/3 x [2/5 - (1 x 5) / (1 x 5)]

B = - 7/3 x (2/5 - 5/5)

B = - 7/3 x (- 3/5)

B = 21/15

B = (3 x 7) / (3 x 5)

B = 7/5

C = 1/4 + 1/5 x 5/4

C = (1 x 5) / (4 x 5) + 5/20

C = 5/20 + 5/20

C = 10/20

C = (10 x 1) / (10 x 2)

C = 1/2

D = 2/5 + 2 : 5

D = 2/5 x 5/2

D = 10/10

D = 1

Voilà