#### Answer

$\frac{189}{8}$

#### Work Step by Step

To write $23\frac{5}{8}$ as a mixed number, we must multiply the whole number in front of the fraction and the denominator together.
$23\times8=184$
Next, take the sum of the number above and the numerator.
$184+5=189$
This will be the numerator of the mixed number. We will use the original denominator as the denominator of the mixed number. Therefore, $23\frac{5}{8}=\frac{189}{8}$.