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14-07-2017
Mathematics

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Convert 5.764764764 … to a rational expression in the form of , where b ≠ 0

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LammettHash LammettHash

24-07-2017

[tex]x=5.764764\ldots=5.\overline{764}[/tex]
[tex]1000x=5764.\overline{764}[/tex]

[tex]1000x-x=5764.\overline{764}-5.\overline{764}[/tex]
[tex]999x=5759[/tex]
[tex]x=\dfrac{5759}{999}[/tex]

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