Remember:Let
x=,where p and q are co-prime integers,
q≠0 be a rational number. If the prime factorisation of q is not of the form
2m×5n, where m and n are non-negative integers, then
x= has a decimal expansion, which is non-terminating and repeating.
Consider the rational number
=Since the prime factorisation of
6=2×3 is not of the form
2m×5n,So 17/6 has non-terminating and repeating decimal expansion.