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Without actual division show that the following rational number is a nonterminating decimal 77/210

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This question is taken from real numbers in which we have given a rational number 77/210 and we have to prove that the given rational number is a nonterminating decimal.

Kindly give me a detailed solution of this question

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


1 Answer

  1. 77/210



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

    hence given fraction is non -terminating repeating decimal.

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