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Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2019 India PRMO
9
Simple Fractions
Simple Fractions
Source:
August 11, 2019
Fractions
Problem Statement
Let the rational number
p
/
q
p/q
p
/
q
be closest to but not equal to
22
/
7
22/7
22/7
among all rational numbers with denominator
<
100
< 100
<
100
. What is the value of
p
ā
3
q
p - 3q
p
ā
3
q
?
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