Answer
$-3\dfrac{1}{4}$
Work Step by Step
Convert each mixed number to improper fraction:
$\\=-\dfrac{3}{4}+\left(-\dfrac{6(1)+1}{6}\right)+\left(-\dfrac{3(1)+1}{3}\right)
\\=-\dfrac{3}{4}+\left(-\dfrac{7}{6}\right)+\left(-\dfrac{4}{3}\right)$
Make the fractions similar using their LCD, which is $12$:
$\\=-\dfrac{3(3)}{4(3)}+\left(-\dfrac{7(2)}{6(2)}\right)+\left(-\dfrac{4(4)}{3(4)}\right)
\\=-\dfrac{9}{12}+\left(-\dfrac{14}{12}\right)+\left(-\dfrac{16}{12}\right)
\\=-\dfrac{-9-14-16}{12}
\\=-\dfrac{39}{12}
\\=-\dfrac{13}{4}
\\=-3\dfrac{1}{4}$
