Converting repeating decimal to fraction How do I convert $0.297$ to a fraction, if the $2$ and $9$ are repeating? The non-repeating number is in the middle, so I am not sure how to proceed from here. 

Note that parenthesized "phrases" should be considered to repeat ad infinitum.  
$.297(29)=.(92)-.632$.  
$.(92)={{92}\over{{10}^2}-1}={{92}\over{99}}$.  
$.632={{632}\over{1000}}={{79}\over{125}}$.  
So, the sought-after fraction $={{92}\over{99}}-{{79}\over{125}}=
{{92·125-79·99}\over{99·125}}={{11500-7821}\over{12375}}={{3679}\over{12375}}$.
