Recurring Decimals by Boxed Rockets

0. \dot{4}

\frac{4}{9}

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

\frac{50}{99}

0. \dot{8} 5 \dot{9}

\frac{859}{999}

0. 0 \dot{9} \dot{5}

\frac{95}{990} = \frac{19}{198}

0. 5 \dot{1}

\frac{46}{90} = \frac{23}{45}

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

\frac{895}{990} = \frac{179}{198}