Given:
[tex]3\frac{1}{2}+1\frac{1}{3}[/tex]Let's add the mixed fraction.
To perform the addition of the mixed, take the following steps.
Step 1:
Add the whole numbers
[tex]3+1=4[/tex]Step 2:
Add the fractions:
[tex]\begin{gathered} \frac{1}{2}+\frac{1}{3} \\ \\ \frac{3+2}{6} \\ \\ =\frac{5}{6} \end{gathered}[/tex]Step 3:
Write the sum of the whole numbers and the sum of the fractions together
[tex]4\frac{5}{6}[/tex]Therefore, we have:
[tex]3\frac{1}{2}+1\frac{1}{3}=4\frac{5}{6}[/tex]ANSWER:
[tex]4\frac{5}{6}[/tex]