Four Fifths as Pandigital Fraction

Theorem

The fraction $\dfrac 4 5$ can be expressed as a pandigital fraction in the following interesting way:


$\dfrac 4 5 = \dfrac {9876} {12 \, 345}$


Proof

Can be found by brute force.


Also see


Historical Note

According to David Wells in his $1986$ work Curious and Interesting Numbers, this result may have appeared in an article by Mitchell J. Friedman in Volume $8$ of Scripta Mathematica, but it is proving difficult to find an archived copy to consult directly.


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $0 \cdotp 5$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $0 \cdotp 5$
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