Recurring Decimals by Boxed Rockets

0. \dot{7}

\frac{7}{9}

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

\frac{90}{99} = \frac{10}{11}

0. \dot{8} 2 \dot{4}

\frac{824}{999}

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

\frac{20}{990} = \frac{2}{99}

0. 4 \dot{1}

\frac{37}{90}

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

\frac{258}{990} = \frac{43}{165}