Two Fifths as Pandigital Fraction

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Theorem

There are $3$ ways $\dfrac 2 5$ can be expressed as a pandigital fraction:


$\dfrac 2 5 = \dfrac {6894} {17235}$
$\dfrac 2 5 = \dfrac {8694} {21735}$
$\dfrac 2 5 = \dfrac {9486} {23715}$


Proof

Can be verified by brute force.