Question

let x=p/q be a rational number such that prime fatorisation of q is not in the form of 2n5m,where n,m are non negative integers,then x has which decimal expansion​

Answer 1

Since, a rational number 'x', expressed as p/q, where the prime factorisation of q is of the form 2^n5^m, is having a terminating decimal expansion. Therefore, if the prime factorisation of q is not of the form 2^n5^n, then X has a 'non- terminating, recurring decimal expansion

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