解:?$(1)\frac {2023}{2024}=1-\frac {1}{2024},$??$\frac {2024}{2025}=1-\frac {1}{2025}$?
?$\frac {1}{2024}>\frac {1}{2025},$?所以?$1-\frac {1}{2024}<1-\frac {1}{2025}$?
所以?$\frac {2023}{2024}<\frac {2024}{2025}$?
?$(3)(-\frac {4}{5})-(-\frac {5}{6})$?
?$=(-\frac {4}{5})+\frac {5}{6}$?
?$=\frac {25}{30}-\frac {24}{30}$?
?$=\frac {1}{30}>0$?
所以?$-\frac {4}{5}>-\frac {5}{6}$?