Recurring Decimals by Boxed Rockets

0. \dot{1}

\frac{1}{9}

0. \dot{5} \dot{7}

\frac{57}{99} = \frac{19}{33}

0. \dot{3} 0 \dot{2}

\frac{302}{999}

0. 0 \dot{4} \dot{9}

\frac{49}{990}

0. 6 \dot{5}

\frac{59}{90}

0. 2 \dot{1} \dot{9}

\frac{217}{990}