Question

URGENTE me ajudem por FAVOR !!!!​

Answer 1

Resposta:

a) $\frac{11}{9}$

b) $\frac{8}{9}$

c) $\frac{2}{3}$

d) $\frac{3200}{99}$

e) $\frac{13}{99}$

Explicação passo-a-passo:

a) 1,2222....

x= 1,22222..

10x = 12,2222..

10x-x = 12,222... - 1,222...

9x= 11

x= $\frac{11}{9}$

b) 0,8888...

x= 0,88888...

10x = 8,8888...

10x-x = 8,88... - 0,88...

9x= 8

x= $\frac{8}{9}$

c) x= 0,666...

10x = 6,666...

10x-x= 6,66... - 0,66...

9x=6

x= $\frac{6}{9} = \frac{2}{3}$

d) x= 32,3232..

100x = 3232,3232...

100x - x = 3232,32... - 32,32...

99x= 3200

x= $\frac{3200}{99}$

e) x= 0,1313...

100x = 13,1313...

100x-x=13,13...-0,13...

99x=13

x= $\frac{13}{99}$