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)
77/210
=77/(2×3×5×7)
=11/(2×3×5)
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.