Question

Se X = 0, 222... e Y= 0,111... as frações geratrizes de X E Y são respectivamente

Answer 1

$x = 0.2222.... \times (10)$

$10 \times = 2.222....$

$10x - x = 2.222.... - 0.222...$

$9x = 2$

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

$y = 0.111...( \times 10)$

$10y = 1.111$

$10y - y = 1.111... - 0.111...$

$9y = 1$

$y = \frac{1}{9}$