Question

Write 8/13 and 10/17 as the sum of three or more unit fractions.

There has to be a better way to do this than trial and error...

Answer 1

By unit fractions you mean fractions of this type ... (1/a) where a is an integer?

Answer 2

Lol... best I can think of is
(8/13) = (1/13) + (1/13) ... eight times
(10/17) = (1/17) + (1/17) ... ten times
Meets problem requirements.
As 13 and 17 are prime numbers, this is kind of hard to do otherwise... no ideas.