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Pouvez vous m'aider pour cette exercice svp :
Calculer et donner le résultat sous la forme d'une fraction irréductible (forme simplifiée)
A= 1/2-3/10×16/9
B= (1/5-3/10)×(1/6+1/2)
C= 1/5-3/10×1/6+1/2
D= 1/8-7/12÷7/6+7/12
E= (1/8-7/12)÷(7/6+7/16)
F= (1/8+7/12)×(6/5÷4/15)

Sagot :

Bonjour

Calculer et donner le résultat sous la forme d'une fraction irréductible (forme simplifiée)

A= 1/2-3/10×16/9

A = 1/2 - 48/90

A = (1 x 15) / (2 x 15) - (3 x 16) / (3 x 30)

A = 15/30 - 16/30

A = - 1/30

B= (1/5-3/10)×(1/6+1/2)

B = [(1 x 2) / (5 x 2) - 3/10] x [1/6 + (1 x 3) / (2 x 3)]

B = (2/10 - 3/10) x (1/6 + 3/6)

B = - 1/10 x 4/6

B = - 4/60

B = (4 x - 1) / (4 x 15)

B = - 1/15

C= 1/5-3/10×1/6+1/2

C = 1/5 - 3/60 + 1/2

C= (1 x 4) / (5 x 4) - (3 x 1) / (3 x 20) + (1 x 10) / (2 x 10)

C = 4/50 - 1/20 + 10/20

C = 13/20

D= 1/8-7/12÷7/6+7/12

D = 1/8 - 7/12 x 6/7 + 7/12

D = 1/8 - 42/84 + 7/12

D = 1/8 - (42 x 1) / (42 x 2) + 7/12

D = 1/8 - 1/2 + 7/12

D = (1 x 3) / (8 x 3) + (1 x 12) / (2 x 12) + (7 x 2) / (12 x 2)

D = 3/24 + 12/24 + 14/24

D = 29/24

E= (1/8-7/12)÷(7/6+7/16)

E = [(1 x 3) / (8 x 3) - (7 x 2) / (12 x 2)] : [(7 x 8) / (6 x 8) + (7 x 3) / (16 x 3)]

E = (3/24 - 14/24) : (56/48 + 21/48)

E = - 11/24 : 77/48

E = - 11/24 x 48/77

E = - 528/1 848

E = (264 x - 2) / (264 x 7)

E = - 2/7

F= (1/8+7/12)×(6/5÷4/15)

F = [(1 x 3) / (8 x 3) + (7 x 2) / (12 x 2)] x (6/5 x 15/4)

F = (3/24 + 14/24) x 90/20

F = 17/24 x 90/20

F = 1 530/480

F = (30 x 51) / (30 x 16)

F = 51/16.

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