One Fifth as Pandigital Fraction

Theorem
There are $12$ ways $\dfrac 1 5$ can be expressed as a pandigital fraction:


 * $\dfrac 1 5 = \dfrac {2697} {13485}$


 * $\dfrac 1 5 = \dfrac {2769} {13845}$


 * $\dfrac 1 5 = \dfrac {2937} {14685}$


 * $\dfrac 1 5 = \dfrac {2967} {14835}$


 * $\dfrac 1 5 = \dfrac {2973} {14865}$


 * $\dfrac 1 5 = \dfrac {3297} {16485}$


 * $\dfrac 1 5 = \dfrac {3729} {18645}$


 * $\dfrac 1 5 = \dfrac {6297} {31485}$


 * $\dfrac 1 5 = \dfrac {7629} {38145}$


 * $\dfrac 1 5 = \dfrac {9237} {46185}$


 * $\dfrac 1 5 = \dfrac {9627} {48135}$


 * $\dfrac 1 5 = \dfrac {9723} {48615}$

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 Sixth as Pandigital Fraction
 * One Seventh as Pandigital Fraction
 * One Eighth as Pandigital Fraction
 * One Ninth as Pandigital Fraction