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Sagot :

VINS

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

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