Let x = p/q be a rational number, such that the prime factorization of q is not of the form 2ⁿ 5^m, where n, m are non-negative integers. Then x has a decimal expansion which is non-terminating repeating (recurring).

The denominator is not of the form 2ⁿ 5^m and also it has 7² as its factor.

Thus, it satisfies the above condition.

The give rational number has a non-terminating decimal representation.