Question

\[0 . 3 \bar{2}\] when expressed in the form \[\frac{p}{q}\] (p, q are integers q ≠ 0), is

Options

• \[\frac{8}{25}\]

• \[\frac{29}{90}\]

• \[\frac{32}{99}\]

• \[\frac{32}{199}\]

Answer 1

Given that `0.3overline2`

Now we have to express this number into `p/q`form

Let X = \[0 . 3 \bar{2}\]

`10 x = 3+ 0.2222`

`⇒10x = 3 +2/9`

`⇒10x = 29/9`

`⇒ x = 29/90`