Rectangle $ABCD$  has  $AB=5$ and  $BC=4,$  point $E$  lies on $AB$  so that $EB=1$  point $G$  lies on $BC$  so that $CG=1$  and point $F$  lies on $CD$  so that $DF=2,$  line segment $AG$  and  $AC$  intersect  $EF$  at $Q$  and  $P$ respectively then ratio $\frac{PQ}{EF}$  is