One Seventh as Pandigital Fraction

Theorem
There are $7$ ways $\dfrac 1 7$ can be expressed as a pandigital fraction:


 * $\dfrac 1 7 = \dfrac {2394} {16 \, 758}$


 * $\dfrac 1 7 = \dfrac {2637} {18 \, 459}$


 * $\dfrac 1 7 = \dfrac {4527} {31 \, 689}$


 * $\dfrac 1 7 = \dfrac {5274} {36 \, 918}$


 * $\dfrac 1 7 = \dfrac {5418} {37 \, 926}$


 * $\dfrac 1 7 = \dfrac {5976} {41 \, 832}$


 * $\dfrac 1 7 = \dfrac {7614} {53 \, 298}$

Proof
Can be verified by brute force.

Also see

 * One Half as Pandigital Fraction
 * One Third as Pandigital Fraction
 * One Quarter as Pandigital Fraction
 * One Fifth as Pandigital Fraction
 * One Sixth as Pandigital Fraction
 * One Eighth as Pandigital Fraction
 * One Ninth as Pandigital Fraction