Incorrect. A common denominator for all the terms is $\displaystyle{2}{{x}}^{{2}}\usepackage{cmbright}\Huge\$ . Multiply the numerator and denominator by this term:

$\displaystyle\frac{{{3}-\frac{{3}}{{{2}{x}}}}}{{\frac{{1}}{{x}}-\frac{{1}}{{{2}{{x}}^{{2}}}}}}\cdot\frac{{{2}{{x}}^{{2}}}}{{{2}{{x}}^{{2}}}}\usepackage{cmbright}\Huge\$

Distribute the $\displaystyle{2}{{x}}^{{2}}\usepackage{cmbright}\Huge\$ and simplify. Factor, identifying common factors, and simplify further. The correct answer is $\displaystyle{3}{x}\usepackage{cmbright}\Huge\$ .