Question

If x= pq where p and q are integers, q and p and q are co-prime, and then write a condition for pq to be a non-terminating repeating decimal.
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Answer 1

The rational number p/q where p and q are co-prime q will have a ferminating decimal expansion only if the prime factorisation of q is of the form 2n.5m , where n and m are non-negative integers.