Answer
$\dfrac{11}{14}$
Work Step by Step
Make the fractions similar using their LCD of $4$ to obtain:
\begin{align*}
-1\frac{4}{7}-\left(-2\frac{5}{14}\right)&=-1\frac{8}{14}-\left(-2\frac{5}{14}\right)\\\\
&=-1\frac{8}{14}+2\frac{5}{14}
\end{align*}
Add the corresponding parts to obtain:
\begin{align*}
-1\frac{8}{14}+2\frac{5}{14}&=-\left(1+\frac{8}{14}\right)+\left(2+\frac{5}{14}\right)\\\\
&=-1-\frac{8}{14}+2+\frac{5}{14}\\\\
&=(-1+2)+\left(-\frac{8}{14}+\frac{5}{14}\right)\\\\
&=1+\left(\frac{-3}{14}\right)\\\\
&=\frac{14}{14}+\frac{-3}{14}\\\\
&=\frac{14+(-3)}{14}\\\\
&=\frac{11}{14}
\end{align*}
