Answer
$\dfrac{11}{24}$
Work Step by Step
The expression $
\dfrac{1}{4(1)}+\dfrac{1}{4(2)}+\dfrac{1}{4(3)}
$ evaluates to
\begin{array}{l}
\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{12}
\\\\=
\dfrac{6(1)+3(1)+2(1)}{24}
\\\\=
\dfrac{6+9+2}{24}
\\\\=
\dfrac{11}{24}
.\end{array}
