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Without actual division show that the following rational number is a nonterminating decimal 29/343

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This is the basic and conceptual question from real numbers in which we have given a rational number 29/343 and we have to show that the given rational number is a non terminating decimal without actual division

Kindly solve the above problem in details

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


1 Answer

  1. 29/343


    7 is not factor of 29 so given fraction is in its simplest form.
    and, (73)≠(2^m×5^n) in denominator

    hence given fraction is non-terminating repeating decimal.

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