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

D

Explanation:

Answer 2

`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)`