Question

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

Answer 1

Answer:

$0.\bar2=\frac{2}{9}$

Step-by-step 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.

$\implies y=\frac{2}{9}$