Answer
$\dfrac{3x}{2}$
Work Step by Step
Adding the numerators, copying the denominator, and then cancelling the common factor between the numerator and the denominator result to
\begin{array}{l}
\dfrac{x}{4}+\dfrac{5x}{4}
\\\\=
\dfrac{6x}{4}
\\\\=
\dfrac{2\cdot3x}{2\cdot2}
\\\\=
\dfrac{3x}{2}
.\end{array}