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.