The given expression is:
[tex]\frac{2}{3}\times\frac{1}{2}[/tex]Multiply the terms in the numerator together, also multiply the terms in the denominator together.
The expression becomes:
[tex]\frac{2}{6}[/tex]Divide both the numerator and denominator by 2
[tex]\begin{gathered} \frac{2\div2}{6\div2} \\ =\text{ }\frac{1}{3} \end{gathered}[/tex]