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SOLUTION
The given expression is:
[tex]\frac{2}{3}\times\frac{1}{2}[/tex]Calculate the value
[tex]\frac{2\times1}{3\times2}=\frac{2}{6}[/tex]Reduce the fraction
[tex]\frac{2}{6}=\frac{1}{3}[/tex]Therefore the required answer is
[tex]\frac{1}{3}[/tex]