In rectangle $WXYZ$ point $A$ is on segment $WX$ so that $WA\cdot AX = 1:2$. Points $B$ and $C$ are on segment $YZ$ so that $YB:BC:CZ = 3:4:5$. Segments $AB$ and $CX$ intersect at point $D$. What is the value of $CD/DX$? Express your answer as a common fraction.