Answer
$-2\frac{1}{2}$
Work Step by Step
Convert each mixed number to an improper fraction to obtain:
$=\left(-\dfrac{3\cdot 5 + 2}{3}\right) + \left(\dfrac{6\cdot 3 + 1}{6}\right)
\\=-\dfrac{17}{3} + \dfrac{19}{6}$
The fractions are not similar since they have different fractions.
Make the fractions similar using their LCD of $6$.
$-\dfrac{17}{3} + \dfrac{19}{6}
\\= -\dfrac{17\color{blue}{(2)}}{3\color{blue}{(2)}}+\dfrac{19}{6}
\\=-\dfrac{34}{6}+\dfrac{19}{6}$
Now that the fractions are similar, add the numerators and copy the denominator to obtain:
$=\dfrac{-34+19}{6}
\\=\dfrac{-15}{6}$
Convert to a mixed number to obtain:
$=\dfrac{-12+(-3))}{6}
\\=\dfrac{-12}{6} + \dfrac{-3}{6}
\\=-2+\left(\frac{-1}{2}\right)
\\=-2\frac{1}{2}$
