Egyptian Fraction Calculator

Calculator for calculating an Egyptian fraction

Calculate Egyptian fraction


An Egyptian fraction is a finite sum of distinct unit fractions, such as

\(\displaystyle\frac{43}{48}=\frac{1}{2}+\frac{1}{3}+\frac{1}{16} \)

That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.

To calculate, enter the appropriate values. Then click on the 'Calculate' button


Egyptian fraction calculator

 Eingabe
Sum as a fraction
Result as an Egyptian fraction

Application example

For example, if one wants to divide 5 pizzas equally among 8 diners, the Egyptian fraction

\(\displaystyle \frac{5}{8}=\frac{1}{2}+\frac{1}{8} \)

means that each diner gets half a pizza plus another eighth of a pizza, for example by splitting 4 pizzas into 8 halves, and the remaining pizza into 8 eighths.


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