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26 March, 01:10

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

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  1. 26 March, 02:56
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    I just learned a short time ago how to convert a repeating decimal to a fraction.

    - - Take the repeating part of the decimal. In this one, it's '764'.

    - - Make a fraction out of it by writing it over the same number of 9s.

    The fraction here is 764/999.

    - - Simplify it if possible and if you feel like it.

    764/999 can't be simplified. (I think.)

    So the rational expressions for this decimal are

    (5 and 764/999) or 5759/999.
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