Exercice 5 Effectuer les calculs suivants en donnant votre réponse sous forme d'une fraction irréductible.​

Bonjour

A = 2/3 + 5/6

A = (2 x 2)/(3 x 2) + 5/6

A = 4/6 + 5/6

A = 9/6

A = (3 x 3)/(2 x 3)

A = 3/2

B = 7/2 - 2/3

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

B = 21/6 - 4/6

B = 17/6

C = 7/3 x 5/4 + 1/6

C = 35/12 + (1 x 2)/(6 x 2)

C = 35/12 + 2/12

C = 37/12

D = 15/9 x 12/25 - 7/4

D = (15 x 12)/(9 x 25) - 7/4

D = (3 x 5 x 3 x 4)/(3 x 3 x 5 x 5) - 7/4

D = 4/5 - 7/4

D = (4 x 4)/(5 x 4) - (7 x 5)/(4 x 5)

D = 16/20 - 35/20

D = -19/20

E = 9/28 x 7/5 + 10/3 x 6/25

E = (9 x 7)/(28 x 5) + (10 x 6)/(3 x 25)

E = (9 x 7)/(7 x 4 x 5) + (2 x 5 x 2 x 3)/(3 x 5 x 5)

E = 9/20 + 4/5

E = 9/20 + (4 x 4)/(5 x 4)

E = 9/20 + 16/20

E = 25/20

E = (5 x 5)/(5 x 4)

E = 5/4

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

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

F = (7/3 - 15/3) x 2/5

F = (-8/3) x 2/5

F = (-16/15)