Answer :

to simplify when you divide two fractions you can invert the second and multiply, I will use this way for the first part of the equation,so

[tex]\frac{2}{7}\times\frac{14}{3}+\frac{2}{3}[/tex]

First , do the multiplication

[tex]\begin{gathered} \frac{2\times14}{7\times3}+\frac{2}{3} \\ \\ \frac{28}{21}+\frac{2}{3} \end{gathered}[/tex]

and now the sum

[tex]\begin{gathered} \frac{(3\times28)+(2\times21)}{21\times3} \\ \\ \frac{84+42}{63} \\ \\ \frac{126}{63} \end{gathered}[/tex]

simplifying to each side by 63

[tex]\frac{2}{1}=2[/tex]

the solution is 2