Definition:Pandigital Fraction

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Definition

A pandigital fraction is a fraction where the digits $1$ to $9$ appear exactly once in the decimal expansions of the numerator and the denominator of the fraction combined.


Examples

1 2 3 4 5 6 7 8 9
1
2 $\dfrac 1 2$
3 $\dfrac 1 3$ $\dfrac 2 3$
4 $\dfrac 1 4$ $\dfrac 3 4$
5 $\dfrac 1 5$ $\dfrac 2 5$ $\dfrac 3 5$ $\dfrac 4 5$
6 $\dfrac 1 6$ $\dfrac 5 6$
7 $\dfrac 1 7$ $\dfrac 2 7$ $\dfrac 3 7$ $\dfrac 4 7$ $\dfrac 5 7$ $\dfrac 6 7$
8 $\dfrac 1 8$ $\dfrac 3 8$ $\dfrac 5 8$ $\dfrac 7 8$
9 $\dfrac 1 9$ $\dfrac 2 9$ $\dfrac 4 9$ $\dfrac 5 9$ $\dfrac 7 9$ $\dfrac 8 9$


Also see

  • Results about Pandigital Fractions can be found here.


Sources

Weisstein, Eric W. "Pandigital Fraction." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PandigitalFraction.html