Question

Express 0.bar 36 in p/q form is​

Answer 1

Explanation:

4/11

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Answer 2

.

Explanation:

Express
`\sf0.\overline{36}` in p/q form

`\large\underline{\sf{Solution-}}`

Given that:

`\longmapsto\sf0.\overline{36}`

Let this be equal to x.

So,

`\longmapsto\sf x=0.\overline{36}- - - -(1)`

Multiplying both side by 100,

`\longmapsto\sf 100x=36.\overline{36}- - - -(2)`

Subtracting (2) from (1),

`\longmapsto\sf 100x-x=36.\overline{36}-0.\overline{36}`

`\longmapsto\sf 99x=36`

So,

`\longmapsto\sf x=(36)/(99)`

Dividing by 9,

`\sf\longmapsto x=(4)/(11)`

Hence,

`\sf\longmapsto\bf0.\overline{36}=(4)/(11)`