SOLUTION
Given the question in the question tab, the following are the solution steps to get the answer
Step 1: Write the expression
[tex]2\frac{1}{2}\text{ }\frac{.}{.}\text{ }\frac{1}{3}[/tex]Step 2: Solve the expression by following these steps
Convert the mixed fraction to an improper fraction
[tex]2\frac{1}{2}=\frac{(2\times2)+1}{2}=\frac{4+!_{}}{2}=\frac{5}{2}[/tex]Rewrite the expression and perform the division
[tex]\begin{gathered} \frac{5}{2}\text{ }\frac{.}{.}\text{ }\frac{1}{3} \\ \text{Turn the divide to multiplication, this inverts the expression after the division sign} \\ \frac{5}{2}\times\frac{3}{1}=\frac{5\times3}{2}=\frac{15}{2}=7\frac{1}{2} \end{gathered}[/tex]Hence, the solution of the expression is
[tex]\frac{15}{2}\text{ or }7\frac{1}{2}[/tex]