Bonjour,

A = 5 x 2/3 - 1/3

A = 10/3 - 1/3

A = 9/3

A = (3 x 3) / (3 x 1)

A = 3.

B = 7/4 - 3/4 x 3/2

B = 7/4 - 9/8

B = (7 x 2) / (4 x 2) - 9/8

B = 14/8 - 9/8

B = 5/8

C = (5/6 + 7/12) x 3/5

C = [(5 x 2) / (6 x 2) + 7/12] x 3/5

C = (10/12 + 7/12) x 3/5

C = 17/12 x 3/5

C = 51/60

C = (3 x 17) / (3 x 20)

C = 17/20

D = 3/4 x 2/9 + 28/15 x 25/14

D = 6/36 + 700/210

D = (6 x 1) / (6 x 6) + (70 x 10) / (70 x 3)

D = 1/6 + 10/3

D = 1/6 + (10 x 2) / (3 x 2)

D = 1/6 + 20/6

D = 21/6

D = (3 x 7) / (3 x 2)

D = 7/2.

Verified answer

Réponse :

calcule et donne le résultat sous la forme d'une fraction la plus simple possible

A = 5 x 2/3  - 1/3      ordre de priorité opératoire la x

  = 10/3 - 1/3 = 9/3 = 3/1

B = 7/4 - (3/4) x (3/2)

  = 7/4 - 9/8

  = 14/8 - 9/8 = 5/8

C = (5/6 + 7/12) x 3/5

  = (10/12 + 7/12) x 3/5

  = 17/12) x 3/5 = 17/20

D = (3/4) x (2/9) + (28/15) x (25/14)

   = 1/2) x (1/3) + (2/3) x 5

   = 1/6 + 10/3  = 21/6 = 7/2

Explications étape par étape