#### Answer

$2\frac{23}{24}$

#### Work Step by Step

Convert each mixed number to improper fraction to obtain:
$=\frac{8(5)+3}{8}-\frac{12(2)+5)}{12}
\\=\frac{43}{8}-\frac{29}{12}$
Make the fractions similar using their LCD of $24$ to obtain:
$=\frac{43(3)}{8(3)}-\frac{29(2)}{12(2)}
\\=\frac{129}{24}-\frac{58}{24}
\\=\frac{129-58}{24}
\\=\frac{71}{24}
\\=2\frac{23}{24}$