Express $0 . \overline{54}$ in the form of a fraction,
6/11
2/3
1/5
1/7
$0 . \overline{54}=0.545454 \quad \rightarrow$ (1)
As the period is containing 2 digits, we multiply by 102 i.e. 100
$\therefore 100 \times 0 . \overline{54}=54$
$\Rightarrow 0 . \overline{54}=54 / 99=6 / 11$