bonjour pouvez m aider ex 57 merci bcp

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