Only by inspecting the prime factors of the denominators, state which of the following fractions will be a recurring decimal? 1. 7/16 2.8/51 3. 3/25 4. 11/20
Rational Irrational Nos
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Answer
A rational number will have a recurring decimal expansion if and only if the prime factorization of its denominator contains any prime factor other than 2 or 5.