Originally Posted by

**wonderboy1953** wiki says that egyptian fractions are distinct unit fractions so e.g. 1/2, 1/3, 1/5 are egyptian fractions while 2/4 or 3/9 are not; also you can't repeat the fraction.

Fractions that aren't egyptian fractions can be expressed as egyptian fractions so, for example, you can have 5/7 = 1/3 + 1/4 + 1/8 + 1/168.

Here's your challenge. Can you express 5/7 as 1/x + 1/y + 1/z where x,y and z are distinct positive integers. If you can't do it, then i'll give the answer myself in about a week.

Have fun.