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MCQ

The number \[1 . \bar{{27}}\] in the form \[\frac{p}{q}\] , where p and q are integers and q ≠ 0, is

#### Options

\[\frac{14}{9}\]

\[\frac{14}{11}\]

\[\frac{14}{13}\]

\[\frac{14}{15}\]

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#### Solution

Given that `1.overline27`

`1.overline27 = 1+27/99`

`⇒ 1.overline27 = (99+27)/99`

`⇒ 1.overline27 = 126/99 `

`⇒ 1.overline27 = (126÷9)/(99 ÷ 9)`

`⇒ 1.overline27 =14/11`

Is there an error in this question or solution?