Proof Writing & Problem Solving · Easy problem

A direct proof that the sum of two rational numbers is rational writes $\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd}$. For $\dfrac{2}{3} + \dfrac{5}{7}$ with $a = 2$, $b = 3$, $c = 5$, $d = 7$, what is the numerator $ad + bc$?