解:∵?$|a-\frac {1}{2}|+|b+\frac {1}{3}|+|c-\frac {1}{4}|=0$?,且?$|a-\frac {1}{2}|≥0$?、?$|b+\frac {1}{3}|≥0$?、?$|c-\frac {1}{4}|≥0$?
∴?$|a-\frac {1}{2}|=0$?,?$|b+\frac {1}{3}|=0$?,?$|c-\frac {1}{4}|=0$?
得?$a=\frac {1}{2}$?,?$b=-\frac {1}{3}$?,?$c=\frac {1}{4}$?
則?$b-a+c=-\frac {1}{3}-\frac {1}{2}+\frac {1}{4}=-\frac {7}{12}$?