2004 AIME II Problem 13

Let ABCDE be a convex pentagon with AB || CE, BC || AD, AC || DE, \angle ABC=120^\circ, AB=3, BC=5, and DE = 15. Given that the ratio between the area of triangle ABC and the area of triangle EBD is m/n, where m and n are relatively prime positive integers, find m+n.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.