Fractions in the lowest terms that have only prime factors of 2 and 5 in the denominators produce decimal expansions that terminate, for example, 1/5 = 0.2 and 3/100 = 0.03.
Fractions that do not terminate result in decimal expansions that repeat infinitely, for example, 1/3 = 0.33333… = 3 and 1/7 = 0.142857142857… = 0.142857
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