#### Answer

$\displaystyle 2\frac{19}{24}$

#### Work Step by Step

We subtract by changing the mixed number fractions to improper fractions:
$\displaystyle 5\frac{5}{12}-2\frac{5}{8}$
$\displaystyle =\frac{65}{12}-\frac{21}{8}$
$\displaystyle =\frac{130}{24}-\frac{63}{24}$
$\displaystyle =\frac{67}{24}$
$\displaystyle =2\frac{19}{24}$