Answer
$-\dfrac{35}{36}$
Work Step by Step
Make the fractions similar using their LCD, which is $36$, to obtain:
$=-\dfrac{8}{36} - \dfrac{27}{36}$
RECALL:
$a-b = a+(-b)$.
Thus,
$-\frac{8}{36} - \frac{27}{36}=-\frac{8}{36} +\left(-\frac{27}{36}\right)=-\frac{35}{36}$