[tex]Let \: \: x \: \: be \: \: \: 0.1717.. \\ \: x \: = 0.1717... \\ = > 100x = 17.1717... \\ = > 100x - x = 17.1717... - 0.1717... \\ = > 99x = 17 \\ = > x = \frac{17}{99} \\ [/tex]
[tex]The \: \: \: \: answer \: \: \: \: is \: \: \: \: \frac{17}{99} .[/tex]
