Réponse :
Explications étape par étape
Bonjour,
... x 4/5 = 8/15
x О x О x
5/4 x ...... = ........
= О = О =
....... x ...... = 4/9
... x 4/5 = 8/15
... = 8/15 x 5/4
... = 5/15 x 8/4
... = 1/3 x 2
... = 2/3
2/3 x 5/4 = ...
... = 5/3 x 2/4
... = 5/3 x 1/2
... = 5/6
5/6 x ... = 4/9
... = 4/9 x 6/5
... = 6/9 x 4/5
... = 2/3 x 4/5
... = 8/15
4/5 x ... = 8/15
... = 8/15 x 5/4
... = 5/15 x 8/4
... = 1/3 x 2
... = 2/3
5/4 x 2/3 = ...
... = 2/4 x 5/3
... = 1/2 x 5/3
... = 5/6
On vérifie le dernier :
8/15 x 5/6 = 8/6 x 5/15 = 4/3 x 1/3 = 4/9 ok
2/3 x 4/5 = 8/15
x О x О x
5/4 x 2/3 = 5/6
= О = О =
5/6 x 8/15 = 4/9
