Answer
$\dfrac{13}{18}$
Work Step by Step
Convert each mixed number to improper fraction:
$\\=-\dfrac{3(3)+2}{3}+\left(-\dfrac{4}{9}\right)+\dfrac{6(4)+5}{6}
\\=-\dfrac{11}{3}+\left(-\dfrac{4}{9}\right)+\dfrac{29}{6}$
Make the fractions similar using their LCD, which is $18$:
$\\=-\dfrac{11(6)}{3(6)}+\left(-\dfrac{4(2)}{9(2)}\right)+\dfrac{29(3)}{6(3)}
\\=-\dfrac{66}{18}+\left(-\dfrac{8}{18}\right)+\dfrac{87}{18}
\\=\dfrac{-66-8+87}{18}
\\=\dfrac{13}{18}$
