Answer
$4\dfrac{1}{24}$
Work Step by Step
Make the fractions similar using their LCD, which is $24$:
$=-1\dfrac{3(3)}{8(3)}+\left(5\dfrac{5(2)}{12(2)}\right)
\\=-1\dfrac{9}{24}+\left(5\dfrac{10}{24}\right)$
Convert each mixed number to improper fraction:
$\\=-\dfrac{24(1)+9}{24}+\dfrac{24(5)+10}{24}
\\=-\dfrac{33}{24}+\dfrac{130}{24}
\\=\dfrac{-33+130}{24}
\\=\dfrac{97}{24}
\\=4\dfrac{1}{24}$