MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2016 ASDAN Math Tournament
8
2016 Discrete #8
2016 Discrete #8
Source:
August 10, 2022
2016
Discrete Math Test
Problem Statement
Consider all fractions
a
b
\tfrac{a}{b}
b
a
where
1
≤
b
≤
100
1\leq b\leq100
1
≤
b
≤
100
and
0
≤
a
≤
b
0\leq a\leq b
0
≤
a
≤
b
. Of these fractions, let
m
n
\tfrac{m}{n}
n
m
be the smallest fraction such that
m
n
>
2
7
\tfrac{m}{n}>\tfrac{2}{7}
n
m
>
7
2
. What is
m
n
\tfrac{m}{n}
n
m
?
Back to Problems
View on AoPS