Two Sevenths as Pandigital Fraction

Theorem
There are $6$ ways $\dfrac 2 7$ can be expressed as a pandigital fraction:


 * $\dfrac 2 7 = \dfrac {3654} {12789}$


 * $\dfrac 2 7 = \dfrac {3674} {12859}$


 * $\dfrac 2 7 = \dfrac {5342} {18697}$


 * $\dfrac 2 7 = \dfrac {7418} {25963}$


 * $\dfrac 2 7 = \dfrac {9786} {34251}$


 * $\dfrac 2 7 = \dfrac {9862} {34517}$

Proof
Can be verified by brute force.