MathDB

Team Round P1

Source:

October 16, 2021

MOAA 2021team

Problem Statement

The value of

\frac{1}{20}-\frac{1}{21}+\frac{1}{20\times 21}

can be expressed as

\frac{m}{n}

for relatively prime positive integers

m

and

n

. Compute

m+n

.
Proposed by Nathan Xiong