Geometry Problem By Vilakshan Gupta

In The $\triangle ABC$ , $D$ , $E$ Are On $BC$ , $AC$ respectively, such that $\frac{BD}{DC} =\frac{2}{3}$ , $\frac{AE}{EC} =\frac{3}{4}$ ,And AD,BE intersect at point F, Find The Value Of $\frac{AF}{FD}$ $\times$ $\frac{BF}{FE}$ . If the answer Is of the form $\frac pq$ , where $p$ and $q$ are coprime positive integers, submit your answer as $p+q$ .