2001 AIME I Problem 7

Triangle ABC has AB=21, AC=22 and BC=20. Points D and E are located on \overline{AB} and \overline{AC}, respectively, such that \overline{DE} is parallel to \overline{BC} and contains the center of the inscribed circle of triangle ABC. Then DE=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.