Given data:
[tex]\frac{\frac{3}{4}+\frac{1}{3}}{\frac{2}{3}+\frac{1}{6}}[/tex]Solving the above we get,
First take the LCM of the numerator and also for denominator
[tex]\begin{gathered} \frac{3}{4}+\frac{1}{3}=\frac{9+4}{12} \\ =\frac{13}{12} \end{gathered}[/tex][tex]\begin{gathered} \frac{2}{3}+\frac{1}{6}=\frac{4+1}{6} \\ =\frac{5}{6} \end{gathered}[/tex]Now, divide the terms
[tex]\begin{gathered} \frac{\frac{13}{12}}{\frac{5}{6}}=\frac{13}{12}\times\frac{6}{5} \\ =\frac{13}{10} \end{gathered}[/tex]The answer for the question is 13/10.