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Without actual division show that the following rational number is a nonterminating decimal 64/455.

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This question is taken from real numbers in which we have given a rational number 64/455 and we have to prove that the given rational number is a non terminating decimal without actual division.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1C, question no 2(viii)


1 Answer

  1. 64/455


    5,7 or 13 is not factor of 64 so given fraction is in its simplest form.
    and, (5×7×13)≠(2^m×5^n) in denominator

    hence given fraction is non-terminating repeating decimal.

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