Sagot :
bonjour
-2/3-[-1/6-(-2/3-4/7+1/2)-(3/2-1/6)]
= - 2/3 - [ - 1/6 - ( - 28/42 - 24/42 + 21/42 ) - ( 9/6 - 1 /6 ) ]
= - 2/3 - [ - 1 /6 - ( - 31 /42 ) - ( 8 /6 )]
= - 2 /3 - ( - 1 /6 + 31/42 - 8 /6 )
= - 2/3 - ( - 7/42 + 31/42 - 56/42 )
= - 28/ 42 - ( - 32 / 42 )
= - 28/42 + 32 /42
= 4/42
= 2/21
Réponse :
Explications étape par étape
Bonjour,
-2/3-[-1/6-(-2/3-4/7+1/2)-(3/2-1/6)]
les parenthèses d'abord:
(-2/3-4/7+1/2) =
(-28/48 - 16/28 + 14/28 ) = -30/28 = (-15/14 )
(3/2-1/6)
9/6 - 1/6 = 8/6 = (4/3 )
-2/3-[-1/6-(15/14)-(4/3)]
-2/3-[-1/6-15/14-4/3]
-2/3+1/6+15/14+4/3
-2/3 + 4/3 = 2/3
2/3 +1/6 +15/14
2/3 + 1/6 = 4/6 +1/6 = 5/6
5/6 +15/14 =
70/84 + 90/84 = 160/84 = 80/42 = 40/21