One Quarter as Pandigital Fraction

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Theorem

There are $4$ ways $\dfrac 1 4$ can be expressed as a pandigital fraction:


$\dfrac 1 4 = \dfrac {3942} {15768}$
$\dfrac 1 4 = \dfrac {4392} {17568}$
$\dfrac 1 4 = \dfrac {5796} {23184}$
$\dfrac 1 4 = \dfrac {7956} {31824}$


Proof

Can be verified by brute force.


Also see