The Egyptians expressed all fractions as the sum of different unit
fractions. Here is a chance to explore how they could have written
Weekly Problem 44 - 2013
If you know that a fraction of X is the same as a different fraction of Y, can you work out X/Y?
Can you see how to build a harmonic triangle? Can you work out the next two rows?
This problem is taken from the UKMT Mathematical Challenges.