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2013 Bangladesh Mathematical Olympiad
4
Continued fraction or fairy sequence
Continued fraction or fairy sequence
Source: Bangladesh National MO 2013
March 5, 2019
algebra
contests
Problem Statement
Higher Secondary P4If the fraction
a
b
\dfrac{a}{b}
b
a
is greater than
31
17
\dfrac{31}{17}
17
31
in the least amount while
b
<
17
b<17
b
<
17
, find
a
b
\dfrac{a}{b}
b
a
.
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