Bonjour,
6/4 + 5/4 Ă· ( 4/3 - 1/2 - 1/3 - 1/5 ) Ă· 2/5
On effectue d'abord le calcul entre parenthèses.
4/3 = ( 4 Ă— 10 ) / ( 3 Ă— 10 ) = 40/30
1/2 = ( 1 Ă— 15 ) / ( 2 Ă— 15 ) = 15/30
1/3 = ( 1 Ă— 10 ) / ( 3 Ă— 10 ) = 10/30
1/5 = ( 1 Ă— 6 ) / ( 6 Ă— 5 ) = 6/30
40/30 - 15/30 - 10/30 - 6/30 = 9/30 = ( 9 Ă· 3 ) / ( 30 Ă· 3 ) = 3/10
5/4 Ă· 3/10 = 5/4 Ă— 10/3 = 50/12 = ( 50 Ă· 2 ) / ( 12 Ă· 2 ) = 25/6
25/6 Ă· 2/5 = 25/6 Ă— 5/2 = 125/12
6/4 + 125/12 = 18/12 + 125/12 = 143/12
Bonne journée !
