One Eighth as Pandigital Fraction

Theorem
There are $46$ ways $\dfrac 1 8$ can be expressed as a pandigital fraction:


 * $\dfrac 1 8 = \dfrac {3187} {25496}$


 * $\dfrac 1 8 = \dfrac {4589} {36712}$


 * $\dfrac 1 8 = \dfrac {4591} {36728}$


 * $\dfrac 1 8 = \dfrac {4689} {37512}$


 * $\dfrac 1 8 = \dfrac {4691} {37528}$


 * $\dfrac 1 8 = \dfrac {4769} {38152}$


 * $\dfrac 1 8 = \dfrac {5237} {41896}$


 * $\dfrac 1 8 = \dfrac {5371} {42968}$


 * $\dfrac 1 8 = \dfrac {5789} {46312}$


 * $\dfrac 1 8 = \dfrac {5791} {46328}$


 * $\dfrac 1 8 = \dfrac {5839} {46712}$


 * $\dfrac 1 8 = \dfrac {5892} {47136}$


 * $\dfrac 1 8 = \dfrac {5916} {47328}$


 * $\dfrac 1 8 = \dfrac {5921} {47368}$


 * $\dfrac 1 8 = \dfrac {6479} {51832}$


 * $\dfrac 1 8 = \dfrac {6741} {53928}$


 * $\dfrac 1 8 = \dfrac {6789} {54312}$


 * $\dfrac 1 8 = \dfrac {6791} {54328}$


 * $\dfrac 1 8 = \dfrac {6839} {54712}$


 * $\dfrac 1 8 = \dfrac {7123} {56984}$


 * $\dfrac 1 8 = \dfrac {7312} {58496}$


 * $\dfrac 1 8 = \dfrac {7364} {58912}$


 * $\dfrac 1 8 = \dfrac {7416} {59328}$


 * $\dfrac 1 8 = \dfrac {7421} {59368}$


 * $\dfrac 1 8 = \dfrac {7894} {63152}$


 * $\dfrac 1 8 = \dfrac {7941} {63528}$


 * $\dfrac 1 8 = \dfrac {8174} {65392}$


 * $\dfrac 1 8 = \dfrac {8179} {65432}$


 * $\dfrac 1 8 = \dfrac {8394} {67152}$


 * $\dfrac 1 8 = \dfrac {8419} {67352}$


 * $\dfrac 1 8 = \dfrac {8439} {67512}$


 * $\dfrac 1 8 = \dfrac {8932} {71456}$


 * $\dfrac 1 8 = \dfrac {8942} {71536}$


 * $\dfrac 1 8 = \dfrac {8953} {71624}$


 * $\dfrac 1 8 = \dfrac {8954} {71632}$


 * $\dfrac 1 8 = \dfrac {9156} {73248}$


 * $\dfrac 1 8 = \dfrac {9158} {73264}$


 * $\dfrac 1 8 = \dfrac {9182} {73456}$


 * $\dfrac 1 8 = \dfrac {9316} {74528}$


 * $\dfrac 1 8 = \dfrac {9321} {74568}$


 * $\dfrac 1 8 = \dfrac {9352} {74816}$


 * $\dfrac 1 8 = \dfrac {9416} {75328}$


 * $\dfrac 1 8 = \dfrac {9421} {75368}$


 * $\dfrac 1 8 = \dfrac {9523} {76184}$


 * $\dfrac 1 8 = \dfrac {9531} {76248}$


 * $\dfrac 1 8 = \dfrac {9541} {76328}$

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 Seventh as Pandigital Fraction
 * One Ninth as Pandigital Fraction