# Four Fifths as Pandigital Fraction

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## Contents

## 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

- 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 Eighth as Pandigital Fraction
- One Ninth as Pandigital Fraction

## 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): $0 \cdotp 5$