In rectangle *ABCD* (below left), $AB=3$ and $BC=5$. The corner at *C* is folded up (below right) and lands on $\overline{AB}$ so that $AC=2$ and $CB=1$.

The area of quadrilateral *CPNM* can be written as $\frac{m}{n}$, where *m* and *n* are positive, coprime integers. Find $m+n$.

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