MathDB
2021 Spring LMT Division B Problem 1

Source:

January 22, 2022
algebra

Problem Statement

Given that the expression 20212020+20202021\frac{20^{21}}{20^{20}} +\frac{20^{20}}{20^{21}} can be written in the form m/nm/n , where mm and nn are relatively prime positive integers, find m+nm +n.
Proposed by Ada Tsui