Hello, I am stuck on my homework can you please help me out?

The given fractional expression is:
[tex]\frac{1}{2}\div\frac{2}{3}[/tex]The division sign will be changed to multiplication sign, the expression on the Righht Hand Side becomes its reciprocal.
Thus, we have:
[tex]\frac{1}{2}\times\frac{3}{2}=\frac{3}{4}[/tex]