Let è be the angle between the x-axis and the line connecting the origin O(0,0) and the point P(−3,−4) , where 180<è<270. Given that sinè+cosè+tanè=−a/b, where a and b are coprime positive integers. What is the value of a+b?

tanθ = 4/3

sinθ = -4/5
cosθ = -3/5

sinθ+cosθ+tanθ = -4/5 - 3/5 + 4/3 = -1/15

a+b=16