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Without actual division show that the following rational number is a nonterminating decimal 9/35

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This question is taken from real numbers chapter in which we have given a rational number 9/35 and we have been asked 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(iv)


1 Answer

  1. 9/35


    5 or 7 is not factor of 9 so fraction is in its simplest form.
    and, (5×7)≠(2^m×5^n) in denominator

    hence given fraction is non -terminating repeating decimal.

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