Réponse :

Explications étape par étape

Bonsoir

Réponse :

Explications étape par étape

Bonsoir

Mettre sous forme irréductible :

180/108 = (2 x 2 x 3 x 3 x 5)/(2 x 2 x 3 x 3 x 3)

180/108 = 5/3

13650/1785 = (2 x 3 x 5^2 x 7 x 13)/(5 x 3 x 7 x 17)

13650/1785 = 10/17

143/52 = (11 x 13)/(4 x 13)

143/52 = 11/4

420/2520 = (10 x 2 x 3 x 7)/(10 x 2^2 x 3^2 x 7)

420/2520 = 1/6

140/189 = (2^2 x 5 x 7)/(3^3 x 7)

140/189 = 20/27

168/180 = (2^3 x 3 x 7)/(2^2 x 3^2 x 5)

168/180 = 14/15

110/225 = (2 x 5 x 11)/(3^2 x 5^2)

110/225 = 22/45

306/450 = (2 x 3^2 x 17)/(2 x 3^2 x 5^2)

306/450 = 17/25

A = (1/2 + 1/4 + 1/8) x 4

A = (4/8 + 2/8 + 1/8) x 4

A = 7/8 x 4

A = 4/8 x 7

A = 1/2 x 7

A = 7/2

B = 4/18 - 1/2 + 91/36

B = 8/36 - 18/36 + 91/36

B = 81/36

B = (9 x 9)/(9 x 4)

B = 9/4

C = 1 + 1/3 + 1/6 + 1/12 + 1/24

C = 24/24 + 8/24 + 4/24 + 2/24 + 1/24

C = 39/24

C = (3 x 13)/(3 x 8)

C = 3/8

D = 11/70 - 6/84

D = (11 x 12)/(70 x 12) - (6 x 10)/(84 x 10)

D = 132/840 - 60/840

D = 72/840

D = (24 x 3)/(24 x 35)

D = 3/35