# Sliced Triangle Areas

**Geometry**Level 4

*AD* and *BE* of triangle *ABC* intersect at *P*. A line through *P* parallel to *AB* meets *AC* and *BC* at *M* and *N*, respectively. The ratio of the area of *MNC* to the area of *ABC* can be written as \(\frac{m}{n}\), where *m* and *n* are positive coprime integers. Find \(m+n\).

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