0.6704 repeating as a fraction?

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asked Aug 23, 2019 103k views

2 votes

0.6704 repeating as a fraction?

Mathematics
high-school

Yydl asked

by Yydl

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1 Answer

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Suppose
$x=0.67046704\ldots$ .

Then
$10^4x=6704.67046704\ldots$ , and we have

10^4x-x=9999x=6704

which means

x=(6704)/(9999)

Oleg Polezky answered Aug 29, 2019

by Oleg Polezky

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