What we are going to do is add [tex] \frac{1}{2} [/tex] by [tex] \frac{2}{3} [/tex]. The first thing we do is make common denominators for [tex] \frac{1}{2} [/tex] and [tex] \frac{2}{3} [/tex]:[tex] \frac{1*3}{2*3}= \frac{3}{6} \ and \ \frac{2*2}{3*2}= \frac{4}{6} [/tex]. Now we add [tex] \frac{3}{6}[/tex] by [tex] \frac{4}{6} [/tex]: [tex] \frac{3}{6}+ \frac{4}{6}= \frac{7}{6}[/tex]. Now we make [tex] \frac{7}{6}[/tex] a mixed number:[tex] \frac{7}{6}=1 \frac{1}{6}[/tex]. Therefore, your answer is [tex]\boxed{\boxed{1 \frac{1}{6}}}[/tex]. Hoped I helped. :)