Sides Extended !!!

Geometry Level 3

ABCDABCD is a square. Sides ADAD and DCDC are extended to EE and FF respectively such that DE=ADDE=AD and CF=DCCF=DC. BEBE and AFAF intersect at point OO. If OEOB=mn\frac{OE}{OB} = \frac{m}{n}; where mm and nn are relatively prime, then find m+nm+n.

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