Answer
$-2\displaystyle \frac{1}{4}$
Work Step by Step
Apply the equivalent fractions rule, $\quad \displaystyle \frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}$
$\displaystyle \frac{-1}{-4}=-\frac{1}{-4}=-(-\frac{1}{4})=+\frac{1}{4}$
So, the problem becomes
$=\displaystyle \left(-2 \right) -\left(+\frac{1}{4} \right)$
Change the sign of the number being subtracted and add
$=\displaystyle \left(-2 \right) +\left(-\frac{1}{4} \right)$
Apply the rule: "Adding two numbers with like signs".
$=-2\displaystyle \frac{1}{4}$