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Réponse :

Explications étape par étape :

A = 1/2 - 2/3

A = 3/6 - 4/6

A = - 1/6

B = 4/7 × 3/2

B = (4 × 3)/(7×2)

B = (2×2×3)/(7×2)

B = 6/7

C = (2/3)² / 5

C = 4/9 × 1/5

C = 4/45

D = (3/7) / (2/3)

D = (3/7) × (3/2)

D = 9/14

E =(1/4 - 1/6) × 3

E = (3/12 - 2/12) × 3

E = 1/12 × 3

E = 3/12 = 1/4

E = 1/4

F = 1/3 + 2/3 ×4/5

f = 1/3 + 8/15

F = 5/15 + 8/15

F = 13/15

G = (2 -1/4)/(1/2 - 1)

G = (8/4 - 1/4) /(1/2 - 2/2)

G = (7/4) / (-1/2)

G = (7/4) × (-2)

G = (-7/2)

A=1/2-2/3

=(3-4)/6

=-1/6

B=4/7×3/2

=(4×3)/(7×2)

=12/14

=(12÷2)/(14÷2)

=6/7

C=(2/3)^2÷5

=(2/3×2/3)÷5

=((2×2)/(3×3))÷5

=4/9÷5

=4/9×1/5

=4/45

D=3/7÷2/3

=3/7×3/2

=(3×3)/(7×2)

=9/14

E=(1/4-1/6)×3

=((6-4)/24)×3

=(-2/24)×3

=(-1/12)×3

=(-1×3)/12

=-3/12

=(-3÷3)/(12÷3)

=1/4

F=1/3+2/3×4/5

=1/3+(2×4)/(3×5)

=1/3+8/15

=(5+8)/15

=13/15

G=(2-1/4) ÷ (1/2-1)

=(8-1)/4) ÷ (1-2)/2)

=7/4 ÷ (-1/2)

=7/4×-2

=(7×(-2))/(4×1)

=-14/4

=-(14÷2)/(4÷2)

=-7/2