Answer
$\frac{41}{2x-2}$
Work Step by Step
Rewrite the fractions to get a common denominator. $$\frac{14}{x-1}+\frac{13}{2x-2}=\frac{14(2)}{2(x-1)}+\frac{13}{2x-2}=\frac{28}{2x-2}+\frac{13}{2x-2}$$ Since the fractions, have the same denominator, they can be added to get $\frac{28+13}{2x-2}=\frac{41}{2x-2}$
