Answer
$ -1\displaystyle \frac{1}{8}$
Work Step by Step
Rewrite the fractions so they have a common denominator. LCD=24.
$\displaystyle \left(\frac{-2\cdot 8}{24} \right)$+$\displaystyle \left(\frac{-5\cdot 4}{24} \right)$+$\displaystyle \left(\frac{1\cdot 6}{24} \right)$+$\displaystyle \left(\frac{1\cdot 3}{24} \right)$=
Combine the numerators
$=\displaystyle \frac{-16+(-20)+6+3}{24}$
Add the terms with like signs
$=\displaystyle \frac{-(16+20)+(6+3)}{24}$
$=\displaystyle \frac{-(36)+(+9)}{24}$
Add the terms with different signs
$=\displaystyle \frac{-27}{24}$
Apply the equivalent fractions rule, $\quad \displaystyle
\frac{a}{-b}=\frac{-a}{b}=-\frac{a}{b}$
Reduce by the common factor, $3$
$= -\displaystyle \frac{9}{8}$
Write as a mixed number
=$ -1\displaystyle \frac{1}{8}$
