jmc

To express the number $0.3\overline{25}$ as a fraction, we call it $x$ and subtract it from $100x$: \begin{array}{r r c r@{}l} &100x &=& 32&.5252525\ldots \\ - &x &=& 0&.3252525\ldots \\ \hline &99x &=& 32&.2 \end{array} This shows that $0.3\overline{25}=\frac{32.2}{99}=\frac{322}{990}=\boxed{\frac{161}{495}}$.

(Note: This last fraction is in lowest terms, because $161=7\cdot 23$ and $495=3^2\cdot 5\cdot 11$.)