Given:
[tex]\frac{13}{7}+\frac{9}{14}[/tex]Find LCM of the denominators.
LCM (7, 14)=14.
Multiply the numerator of each fraction by the LCM 14 and divide by 14.
[tex]\begin{gathered} \frac{1}{14}(\frac{14\times13}{7}+\frac{9\times14}{14}) \\ =\frac{1}{14}(2\times13+9) \\ =\frac{1}{14}(26+9) \\ =\frac{35}{14} \\ =\frac{5}{2} \end{gathered}[/tex]Therefore, the result of the sum is 5/2.