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
