Which rational number equals 0 point 2 with bar over 2? 1 over 10 1 over 9 2 over 10 2 over 9

Question

asked Jan 18, 2020 68.4k views

2 Answers

Webman · Answer 1 · 2020-01-24T02:24:11+0000

Answer:

$0.\bar2=(2)/(9)$

Explanation:

We want to find the rational number which is equal to
$0.\bar2$ .

Let
$y=0.\bar2$ ....eqn(1)

Multiply both sides by 10

$10y=2.\bar2$ .....eqn (2)

Subtract eqn (1) from eqn (2)

$10y-y=2.\bar2-0.\bar2$

$\implies 9y=2$

Divide both sides by 9.

$\implies y=(2)/(9)$