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Question
\[0 . 3 \bar{2}\] when expressed in the form \[\frac{p}{q}\] (p, q are integers q ≠ 0), is
Options
\[\frac{8}{25}\]
\[\frac{29}{90}\]
\[\frac{32}{99}\]
\[\frac{32}{199}\]
Solution
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`
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