Sagot :
Bonjour
A = 5/14 + - 2/7 x 21/20
A = 5/14 - 42/140
A = (5 x 10) / (14 x 10) - 42/140
A = 50/140 - 42/140
A = 8/140
A = (4 x 2) / (4 x 35)
A = 2/35
B = (5/14 + - 2/7) x 21/20
B = [5/14 - (2 x 2) /(7 x 2)] x 21/20
B = (5/14 - 4/14) x 21/20
B = 1/14 x 21/20
B = 21/280
B = (7 x 3) / (7 x 40)
B = 3/40
C = 1/3 - 2/5 x 6/5
C = 1/3 - 12/25
C = (1 x 25) / (3 x 25) - (12 x 3) / (25 x 3)
C = 25/75 - 36/75
C = - 11/75
Salut !
Calculer (attention en respectant les priorités) et donner le résultat sous forme d'une fraction (la plus simple possible), le tout en détaillant toutes les étapes de calcul faites.
A = ( 5 / 14 ) + ( - 2 / 7 ) × ( 21 / 20 )
A = ( 5 / 14 ) + ( - 2 × 21 ) / ( 7 × 20 )
A = ( 5 / 14 ) - ( 42 / 140 )
A = ( 5 × 10 ) / ( 14 × 10 ) - ( 42 / 140 )
A = ( 50 / 140 ) - ( 42 / 140 )
A = 8 / 140
A = ( 2 × 4 ) / ( 35 × 4 )
A = 2 / 35 ✅
B = ( ( 5 / 14 ) + ( - 2 / 7 ) ) × ( 21 / 20 )
B = ( ( 5 / 14 ) + ( - 2 × 2 ) / ( 7 × 2 ) ) × ( 21 / 20 )
B = ( ( 5 / 14 ) - ( 4 / 14 ) ) × ( 21 / 20 )
B = ( 1 / 14 ) × ( 21 / 20 )
B = ( 1 × 21 ) / ( 14 × 20 )
B = 21 / 280
B = ( 3 × 7 ) / ( 40 × 7 )
B = 3 / 40 ✅
C = ( 1 / 3 ) - ( 2 / 5 ) × ( 6 / 5 )
C = ( 1 / 3 ) - ( 2 × 6 ) / ( 5 × 5 )
C = ( 1 / 3 ) - ( 12 / 25 )
C = ( 1 × 25 ) / ( 3 × 25 ) - ( 12 × 3 ) / ( 25 × 3 )
C = ( 25 / 75 ) - ( 36 / 75 )
C = - ( 11 / 75 ) ✅
En espérant t'avoir aidé(e).