# One Ninth as Pandigital Fraction

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## Theorem

There are $3$ ways $\dfrac 1 9$ can be expressed as a pandigital fraction:

- $\dfrac 1 9 = \dfrac {6381} {57429}$

- $\dfrac 1 9 = \dfrac {6471} {58239}$

- $\dfrac 1 9 = \dfrac {8361} {75249}$

## Proof

Can be verified by brute force.