When the decimal $0.1\overline{2}$ is written as a fraction $\frac{a}{b}$ with $a$ and $b$ being positive integers with a greatest common divisor of $1$, what is $a+b$?
Note that 0.0¯2=290, and 0.1=110, so the decimal is 290+110=1190.
The final answer is 101 btw.
+170 
