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. 

If $n = 0.2972929\ldots$ then $1000n = 297.2929\ldots$ and $100000n = 29729.29\ldots$ Hence:
$$\begin{eqnarray*}
100000n - 1000n &=& (29729.29\ldots) - (297.2929\ldots) \\ \\
99000n &=& 29432 \\ \\
n &=& \frac{29432}{99000} = \frac{3679}{12375}
\end{eqnarray*}$$
