Answer
$\dfrac{26}{5}$
Work Step by Step
Substituting $a=-1$, $b=-2$, and $c=4$, the given expression, $
(a-2)\div5\cdot b+c
,$ evaluates to
\begin{array}{l}\require{cancel}
(-1-2)\div5\cdot (-2)+4
\\\\=
(-3)\div5\cdot (-2)+4
\\\\=
-\dfrac{3}{5}\cdot (-2)+4
\\\\=
\dfrac{6}{5}+4
\\\\=
\dfrac{6}{5}+\dfrac{20}{5}
\\\\=
\dfrac{26}{5}
.\end{array}