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