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Without actual division show that the following rational number is a nonterminating decimal 11/(2³×3)

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We have been asked to show that the rational number 11/(2³×3) is a nonterminating decimal without actual division

It is an important question from real numbers chapter as it was already asked in previous year papers

Kindly give me a detailed solution of this question

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


1 Answer

  1. 11/(2³×3)

    2 or 3 is not factor of 11 so fraction is in its simplest form.
    and, (×3)≠(2^m×5^n)

    hence given fraction is non -terminating repeating decimal.

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