Q. Solve this


$5\frac{2}{13}+6\frac{1}{6}+\frac{7}{2}$

Dear Student,
Here is the solution of your asked query:
$$\begin{gathered} 5\frac{2}{13}+6\frac{1}{6}+\frac{7}{2} \\ =\frac{5\times 13+2}{13}+\frac{6\times 6+1}{6}+\frac{7}{2} \\ =\frac{67}{13}+\frac{37}{6}+\frac{7}{2} \\ L.C.M. of 13,6 and 2 is 78. \\ So making the denominators common; \\ \frac{67}{13}\times \frac{6}{6}=\frac{402}{78} \\ \frac{37}{6}\times \frac{13}{13}=\frac{481}{78} \\ \frac{7}{2}\times \frac{39}{39}=\frac{273}{78} \\ So we have; \\ \frac{67}{13}+\frac{37}{6}+\frac{7}{2} \\ =\frac{402}{78}+\frac{481}{78}+\frac{273}{78} \\ =\frac{1156}{78} \\ =14\frac{32}{39} \end{gathered}$$
Regards