#### Answer

$3\displaystyle \frac{1}{4}$

#### Work Step by Step

$\displaystyle \left(\frac{-6}{8} \right)-\left(-4 \right) = \qquad $
Change the sign of the number being subtracted and add.
Also reduce $\displaystyle \frac{-6}{8}$ to lowest terms.
$=\displaystyle \left(\frac{-3}{4} \right)+\left(+4 \right) $
We can write 4 as $3+1=3+\displaystyle \frac{4}{4}=3\frac{4}{4}$
$=\displaystyle \left(\frac{-3}{4} \right)+\left(+3\frac{4}{4} \right) $
Add as mixed numbers:
$=3+\displaystyle \frac{-3+4}{4}$
Apply rule: adding two numbers with unlike signs
$=3\displaystyle \frac{1}{4}$