Convert 8.132132132 … to a rational expression in the form of a over b , where b ≠ 0

Convert 8.132132132 … to a rational expression in the form of a over b , where b ≠ 0

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  1. Answer:

    Step-by-step explanation:

    Given the number 8.132132….

    we have to convert the above number to a rational expression.

     → (1)

    Multiply by 1000 on both sides

       →  (2)

    Subtracting equation (1) from equation (2), we get

    Divide throughout by 999, we get

    which is required rational form.

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