Calculer en detaillant les étapes, puis simplifier si possible:
A= 1/2+1/2=
B=16/7-2/7=
C=1/6+5/3=
D=10/11+5/33=
E=7/12-1/3=
F=1/4+3/28=
G=25/21+8/7+4/3=
H=2/72+1/18+4/36=
Merci bcq ​


Sagot :

Bonjour

Calculer en détaillant les étapes, puis simplifier si possible:

A= 1/2+1/2=2/2=1

B=16/7-2/7= 14/7 =2

C=1/6+5/3= 1/6+(5x 2) / (3 x 2) = 1/6 + 10/6 = 11/6

D=10/11+5/33= (10 x 3)/(11 x 3) + 5/33 = 30/33 + 5/33 = 35/33

E=7/12-1/3= 7/12 - (1x 4)/ (3x 4) = 7/12 - 4/12 = 3/12 = (3x1) / (3x 4) = 1/4

F=1/4+3/28= (1x 7) / (4x 7) + 3/28 = 7/28 + 3/28 = 10/28 =(2x 5) / (2x 14) = 5/14

G=25/21+8/7+4/3=25/21 + (8x 3) / (7 x 3) + (4x7) / (3  x 7) = 25/21 + 24/21 + 28/21 = 77/21= (7 x 11) / (7 x 3) = 11/3

H=2/72+1/18+4/36 = 2/72 + (1 x 4) / (18x4) + (4x 2) / (36x 2) = 2/72 + 4/72 + 8/72 = 14/72 = (2 x 7) / (2 x 36) = 7/36.