Answer :
Given data:
The given expression 2/3 - 1/3 (6-1/2) + 3/4.
The given expression can be written as,
[tex]\begin{gathered} \frac{2}{3}-\frac{1}{3}(6-\frac{1}{2})+\frac{3}{4}=\frac{2}{3}-\frac{1}{3}\times\frac{11}{2}+\frac{3}{4} \\ =\frac{2}{3}-\frac{11}{6}+\frac{3}{4} \\ =\frac{8-22+9}{12} \\ =-\frac{5}{12} \end{gathered}[/tex]Thus, the value of the given expression is -5/12.