# How do you add or subtract (5m+8)/(m-1)-(m-3)/(m-1)?

Since $\frac{5 m + 8}{m - 1}$ and $\frac{m - 3}{m - 1}$ have the same denominator
$\frac{5 m + 8}{m - 1} - \frac{m - 3}{m - 1}$
$= \frac{\left(5 m + 8\right) - \left(m - 3\right)}{m - 1}$
$= \frac{4 m + 11}{m - 1}$