Incorrect. The least common denominator is $\displaystyle{p}\cdot{3}{q}={3}{p}{q}\usepackage{cmbright}\Huge\$ . Rewrite each fraction to have this denominator:

$\displaystyle\frac{{4}}{{p}}-\frac{{2}}{{{3}{q}}}=\frac{{4}}{{p}}\cdot\frac{{{3}{q}}}{{{3}{q}}}-\frac{{2}}{{{3}{q}}}\cdot\frac{{p}}{{p}}\usepackage{cmbright}\Huge\$

Simplify both numerators and then subtract them while keeping the denominator the same.