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Algebra Inequality
Algebra Inequality
Source: Archimedes Junior 2004
March 17, 2020
inequalities
Problem Statement
Determine the rational number
a
b
\frac{a}{b}
b
a
, where
a
,
b
a,b
a
,
b
are positive integers, with minimal denominator, which is such that
52
303
<
a
b
<
16
91
\frac{52}{303} < \frac{a}{b}< \frac{16}{91}
303
52
<
b
a
<
91
16
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