Sagot :
Bonjour !
A = 5/3 + 4/5 * 1/3
= 5/3 + 4/15
= 5*5/3*5 + 4/15
= 25/15 + 4/15
= 29/15
B = 7/5 * 4/3 - 1/7 * 3/5
= 28/15 - 3/35
= 28*7/15*7 - 3*3/35*3
= 196/105 - 9/105
= 187/105
C = 1/3 - (3/4 + 1/5 * 2/3)
= 1/3 - (3/4 + 2/15)
= 1/3 - (3*15/4*15 + 2*4/15*4)
= 1/3 - (45/60 + 8/60)
= 1/3 - 53/60
= 1*20/3*20 - 53/60
= 20/60 - 53/60
= -33/60
= -11*3/20*3
= -11/20
D = 4/5 * (1/2 - 3/4 * 5/7)
= 4/5 * (1/2 - 15/28)
= 4/5 * (1*14/2*14 - 15/28)
= 4/5 * (14/28 - 15/28)
= 4/5 * -1/28
= -4/140
= -1*4/35*4
= -1/35
Réponse :
Bonsoir,
Explications étape par étape :
A = 5/3 + 4/5 x 1/3 = 5/3 + 4/15 = 25/15 + 4/15 = 29/15 ≈ 1,933
B = 7/5 x 4/3 - 1/7 x 3/5 = 28/15 - 3/35 = 196/105 - 9/105 = 187/105 ≈ 1.78
C = 1/3 - (3/4 + 1/5 x 2/3) = 1/3 - (3/4 + 2/15) = 1/3 - (45/60 + 8/60) = 1/3 - 54/60 = 20/60 - 54/60 = -34/60 ≈ -0.56
D = 4/5 x (1/2 - 3/4 x 5/7) = 4/5 x (1/2 - 15/28) = 4/5 x (14/28 - 15/28) = 4/5 x (-1/28) = - 4/140 ≈ -0.007
Bonne soirée