>This is a very hard problem to solve. On the contrary, it's very easy to solve.

>The term Egyptian fractions refers to those fractions whose

>numerator is 1 and whose denominator is any other whole

>number.

>How can the fraction 19/94 be expressed as the sum of two

>Egyptian fractions?

Has this problem come out of the blue? Have you ever solved similar problems?

There's what's known as the greedy algorithm.

### Basic step:

*Subtract from a given fraction the largest Egyptian fraction that leaves a positive difference.*

### Recursive step:

*If the difference is an Egyptian fraction, stop. Otherwise, apply the Basic step to the difference.* For the difficult case of 19/94 it takes exactly one basic step.