Difference between revisions of "2023 IOQM/Problem 3"

(Created page with "==Problem== Let α and β be positive integers such that <cmath>\frac{16}{37}\leq\frac{\alpha}{\beta}\leq\frac{7}{16}</cmath> Find the smallest possible value of β .")
 
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==Problem==
 
==Problem==
  
Let α and β be [[positive integers]] such that <cmath>\frac{16}{37}\leq\frac{\alpha}{\beta}\leq\frac{7}{16}</cmath>
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Let α and β be [[positive integers]] such that <cmath>\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16}</cmath>
 
Find the smallest possible value of β .
 
Find the smallest possible value of β .

Revision as of 21:26, 2 October 2023

Problem

Let α and β be positive integers such that \[\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16}\] Find the smallest possible value of β .