Given the expression 3/2x and 4/3x, we are to find their sum to the simplest form. This is as shown;
[tex]\begin{gathered} \frac{3}{2x}+\frac{4}{3x} \\ =\frac{3(3)+2(4)}{6x} \\ =\frac{9+8}{6x} \\ =\frac{17}{6x} \end{gathered}[/tex]
Hence the sum of both expressions in its simplest form is 17/6x