PQRSTU is a regular hexagon

A,B,C,D,E and F are the respective midpoints of sides PQ, QR, RS, ST, TU and UP.

PB, QC, RD, SE, TF and UA bound a smaller regular hexagon.

The ratio of the area of the smaller hexagon to the area of PQRSTU is equal to x/y, where x and y are relatively prime positive integers.

Determine x and y