1988 USAMO Problems/Problem 1

Problem

The repeating decimal $0.ab\cdots k\overline{pq\cdots u}=\frac mn$ , where $m$ and $n$ are relatively prime integers, and there is at least one decimal before the repeating part. Show that $n$ is divisble by 2 or 5 (or both). (For example, $0.011\overline{36}=0.01136363636\cdots=\frac 1{88}$ , and 88 is divisible by 2.)

Solution

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1988 USAMO (Problems • Resources)
Preceded by First Question	Followed by Problem 2
1 • 2 • 3 • 4 • 5
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1988 USAMO Problems/Problem 1

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