bonjour à tous pouvez vous me donner la réponse en mathématiques svp ​

Bonjour,

732 = 2 x 2 x 3 x 61

126 = 2 x 3 x 3 x 7

732/126 = [(2 x 3) x (3 x 61)] / [(2 x 3) x (3 x 7)] = (6 x 122) / (6 x 21) = 122/21

2 730 = 2 x 3 x 5 x 7 x 13

2 275 = 5 x 5 x 7 x 13

2 730/2 275 = [(5 x 7 x 13)  x (2 x 3)] / [(5 x 7 x 13) / 7] = (455 x 6) / (455 x 7) = 6/7

1 134 = 2 x 3 x 3 x 3 x 3 x 7

3 969 = 3 x 3 x 3 x 3 x 7 x 7

1 134/3 969 = [(3 x 3 x 3 x 3 x 7) x 2] / [(3 x 3 x 3 x 3 x 7) x 3] = (567 x 2) / (567 x 3) = 2/3