Given:
[tex]\frac{3}{6}+\frac{1}{6}+\frac{2}{3}[/tex]Let's perform the addition of the fractions.
The first step is to find the Lowest Common Multiple (LCM) of the denominators.
LCM of 6 and 3 = 6
Now, divide the LCM by each denominator and multiply the the corresponding numerator.
We have:
[tex]\begin{gathered} \frac{3}{6}+\frac{1}{6}+\frac{2}{3} \\ \\ =\frac{(3)1+1(1)+(2)2}{6} \\ \\ =\frac{3+1+4}{6} \\ \\ =\frac{8}{6} \\ \\ =\frac{4}{3} \end{gathered}[/tex]