Let the number added to the fraction 18\;\frac{1}{8}81 be y
So, 1+y8+y\;\frac{1 + y}{8 + y}8+y1+y = 12\;\frac{1}{2}21
cross multiply
8 + y = 2 + 2y
2y - y = 8 - 2
y = 6.