Answer
$-3\dfrac{5}{6}$
Work Step by Step
Convert the mixed number to improper fraction:
$=-\dfrac{1}{3}-\left(+\dfrac{2(3)+1}{2}\right)
\\=-\dfrac{1}{3}-\left(+\dfrac{7}{2}\right)
\\=-\dfrac{1}{3}-\dfrac{7}{2}$
Make the fractions similar using their LCD, which is $6$:
$\\=-\dfrac{1(2)}{3(2)}-\left(\dfrac{7(3)}{2(3)}\right)
\\=-\dfrac{2}{6}-\left(\dfrac{21}{6}\right)
\\=\dfrac{-2-21}{6}
\\=\dfrac{23}{6}
\\=-3\dfrac{5}{6}$
