Kelvin the Frog lives in a triangle ABC with side lengths 4,5 and 6.6. One day he starts at some point on side AB of the triangle, hops in a straight line to some point on side BC of the triangle, hops in a straight line to some point on side CA of the triangle, and finally hops back to his original position on side AB of the triangle. The smallest distance Kelvin could have hopped is m/n for relatively prime positive integers m and n. What is m+n?