svp aidez moi j’ai pas compris 1- on simplifie la fraction 135/105 2- On considère la fraction G= 198/495 a) écris la fraction 198/495 le plus simple possible

Bonjour

1- on simplifie la fraction 135/105

135/5 = 27

27/3 = 9

9/3 = 3

3/3 = 1

135 = 3^3 x 5

105/3 = 35

35/5 = 7

7/7 = 1

105 = 3 x 5 x 7

135/105 = (3^3 x 5)/(3 x 5 x 7)

135/105 = (9 x 15)/(7 x 15)

135/105 = 9/7

2- On considère la fraction G= 198/495

a) écris la fraction 198/495 le plus simplement possible

198/2 = 99

99/3 = 33

33/3 = 11

11/11 = 1

198 = 2 x 3^2 x 11

495/3 = 165

165/3 = 55

55/5 = 11

11/11 = 1

495 = 3^2 x 5 x 11

198/495 = (2 x 3^2 x 11)/(3^2 x 5 x 11)

198/495 = (2 x 99)/(5 x 99)

198/495 = 2/5