WE need to find the result of :
[tex]\frac{1}{2}+\frac{2}{3}=\text{?}[/tex]The least common multiplier for the denominators ( 2 and 3 ) is 6
So,
[tex]\begin{gathered} \frac{1}{2}=\frac{3}{6} \\ \\ \frac{2}{3}=\frac{4}{6} \\ \\ \frac{1}{2}+\frac{2}{3}=\frac{3}{6}+\frac{4}{6}=\frac{7}{6} \end{gathered}[/tex]So, the answer is 7/6