Answer
$\dfrac{7}{15}$
Work Step by Step
The given expression, $
\left|-\dfrac{2}{3}+\dfrac{1}{5}\right|
,$ simplifies to
\begin{align*}\require{cancel}
&
\left|-\dfrac{2}{3}\cdot\dfrac{5}{5}+\dfrac{1}{5}\cdot\dfrac{3}{3}\right|
&(\text{change to similar fractions})
\\\\&=
\left|-\dfrac{10}{15}+\dfrac{3}{15}\right|
\\\\&=
\left|-\dfrac{7}{15}\right|
\\\\&=
\dfrac{7}{15}
.\end{align*}
Hence, the expression $\left|-\dfrac{2}{3}+\dfrac{1}{5}\right|$ simplifies to $\dfrac{7}{15}$.
