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)

9/35

=9/(5×7)

## 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.