The sum of two given fractions reduced to their lowest terms is an integer. Their denominators are positive. What is the maximum possible difference between their denominators?
Sunday, March 4, 2012
Please email your solutions to firstname.lastname@example.org.
This puzzle is based on:
- Apostol, Tom M. Introduction to Analytic Number Theory. New York: Springer-Verlag, 1998. 21. Problem 7.