luzmcuen luzmcuen

04-05-2018
Mathematics

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0.6704 repeating as a fraction?

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LammettHash LammettHash

04-05-2018

Suppose [tex]x=0.67046704\ldots[/tex].

Then [tex]10^4x=6704.67046704\ldots[/tex], and we have

[tex]10^4x-x=9999x=6704[/tex]

which means

[tex]x=\dfrac{6704}{9999}[/tex]

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