To substract two fractions we need them to have the same denominator
[tex]\begin{gathered} \frac{1}{2}=\frac{3}{6} \\ \frac{1}{3}=\frac{2}{6} \end{gathered}[/tex]Then
[tex]\frac{1}{2}-\frac{1}{3}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}[/tex]Since the fraction is in the lowest term, then the answer is 1/6