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2011 Morocco National Olympiad
3
A mistake in dividing
A mistake in dividing
Source:
April 24, 2011
number theory unsolved
number theory
Problem Statement
When dividing an integer
m
m
m
by a positive integer
n
n
n
,
(
0
<
n
≤
100
)
(0< n\leq 100)
(
0
<
n
≤
100
)
, a student finds
m
n
=
0
,
167
a
1
a
2
.
.
.
\frac{m}{n}= 0,167a_{1}a_{2}...
n
m
=
0
,
167
a
1
a
2
...
. Prove that the student made a mistake while computing.
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