解:?$(1)$?∵?$|-\frac {7}{12}|=\frac {7}{12}$?,?$|-\frac {5}{6}|=\frac {5}{6}$?,?$\frac {7}{12}<\frac {5}{6}$?,∴?$-\frac {7}{12}>-\frac {5}{6}$?
?$(2)$?∵?$|-\frac {3}{11}|=\frac {3}{11}$?,?$|-0.3|=0.3=\frac {3}{10}$?,?$\frac {3}{11}<\frac {3}{10}$?,∴?$-\frac {3}{11}>-0.3$?
?$(3)$?∵?$|-\frac {4}{9}|=\frac {4}{9}$?,?$|-\frac {3}{7}|=\frac {3}{7}$?,?$\frac {4}{9}>\frac {3}{7}$?,∴?$-\frac {4}{9}<-\frac {3}{7}$?