# Looks like half the figure, right?

Geometry Level 3

A unit square $$ABCD$$ is such that $$M$$ and $$N$$ are the midpoints of $$BC$$ and $$CD$$ respectively. A straight line is drawn from $$A$$ to $$N$$ and another from $$D$$ to $$M$$. This two lines $$AN$$ and $$DM$$ meet at $$O$$ which is inside square $$ABCD$$. Let the area of $$ABMO$$ be $$\frac{a}{b}$$ for coprime positive integers $$a$$ and $$b$$. $$a+b=\boxed{?}$$

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