# Problematic Triangle

Geometry Level 4

In $$\bigtriangleup ABC$$ $$D$$ is a point on $$AB$$ such that $$\frac {BD}{DA}$$=$$\frac {2}{3}$$ and $$E$$ is a point on $$BC$$ such that $$\frac {BE}{EC}$$=$$\frac {1}{3}$$ . $$DC$$ and $$AE$$ intersect at $$O$$. Then what is the ratio of $$Area$$ $$of$$ $$\bigtriangleup EOC$$ to $$Area$$ $$of$$ $$\bigtriangleup ABC$$. The ratio will be of the form $$\frac {m}{n}$$ enter the answer as $$m + n$$.

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