One Fifth as Pandigital Fraction

Theorem
There are $12$ ways $\dfrac 1 5$ can be made using all $9$ of the digits from $1$ to $9$:


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


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


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


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


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


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


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


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


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


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


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


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

Proof
Can be verified by brute force.

Also see

 * One Half using all 9 Digits
 * One Third using all 9 Digits
 * One Quarter using all 9 Digits
 * One Sixth using all 9 Digits
 * One Seventh using all 9 Digits
 * One Eighth using all 9 Digits
 * One Ninth using all 9 Digits