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5
Randomly chosen divisor
Randomly chosen divisor
Source:
March 17, 2006
probability
Problem Statement
Let
m
/
n
m/n
m
/
n
, in lowest terms, be the probability that a randomly chosen positive divisor of
1
0
99
10^{99}
1
0
99
is an integer multiple of
1
0
88
10^{88}
1
0
88
. Find
m
+
n
m + n
m
+
n
.
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