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Express 0.overline3 in the form (p)/(q),...

Express `0.overline3` in the form `(p)/(q)`, where p and q are integer and `q ne0`

Text Solution

Verified by Experts

Let `x = 0. overline3`.
Then `x =0.333…." "….(i)`
Since the reqeating block has only one digit 3, we mulitplu x by 10 to get
`10x = 3.333…. " "…(ii)`
Hence , `0.overline3 = (1)/(3)`.
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