Recurring Decimals by Boxed Rockets

0. \dot{7}

\frac{7}{9}

0. \dot{2} \dot{1}

\frac{21}{99} = \frac{7}{33}

0. \dot{0} 5 \dot{6}

\frac{56}{999}

0. 0 \dot{3} \dot{3}

\frac{33}{990} = \frac{1}{30}

0. 9 \dot{2}

\frac{83}{90}

0. 6 \dot{7} \dot{1}

\frac{665}{990} = \frac{133}{198}