Multiply the numerator and denominator by $\displaystyle{6}{{x}}^{{2}}\usepackage{cmbright}\Huge\$ , which is the LCD of all of the terms.

$\displaystyle\frac{{\frac{{2}}{{x}}+\frac{{1}}{{{3}{{x}}^{{2}}}}}}{{{1}+\frac{{1}}{{{6}{x}}}}}\cdot\frac{{{6}{{x}}^{{2}}}}{{{6}{{x}}^{{2}}}}=\frac{{{12}{x}+{2}}}{{{6}{{x}}^{{2}}+{x}}}=\frac{{{2}{\left({6}{x}+{1}\right)}}}{{{x}{\left({6}{x}+{1}\right)}}}=\frac{{2}}{{x}}\usepackage{cmbright}\Huge\$