Diving into equal masses for rational or irrational a
Source:
February 9, 2011
rationumber theory unsolvednumber theory
Problem Statement
Alex has a piece of cheese. He chooses a positive number a and cuts the piece into several pieces one by one. Every time he choses a piece and cuts it in the same ratio . His goal is to divide the cheese into two piles of equal masses. Can he do it if
is irrational?
is rational,