Answer
$-\dfrac{7}{8}$
Work Step by Step
The given expression, $
-\dfrac{1}{8}-\dfrac{3}{4}
$, simplifies to
\begin{array}{l}\require{cancel}
-\dfrac{3}{24}-\dfrac{18}{24}
\\\\=
\dfrac{-3-18}{24}
\\\\=
\dfrac{-21}{24}
\\\\=
\dfrac{\cancel{3}\cdot(-7)}{\cancel{3}\cdot8}
\\\\=
-\dfrac{7}{8}
.\end{array}