Recurring Decimals by Boxed Rockets

0. \dot{4}

\frac{4}{9}

0. \dot{5} \dot{8}

\frac{58}{99}

0. \dot{6} 3 \dot{2}

\frac{632}{999}

0. 0 \dot{4} \dot{1}

\frac{41}{990}

0. 8 \dot{6}

\frac{78}{90} = \frac{13}{15}

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

\frac{400}{990} = \frac{40}{99}