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Fractions will equal a terminating decimal if the denominator's prime factors are 2 or 5 or a combination of both ONLY. This is because these 2 multiply to 10, and we use a base 10 number system, which means that the denominator will always be able to be converted to 10,100,10000... etc. if the denominator's prime factors are 2 or 5 or a combination of both. If the denominator can be converted into 10,100,10000... etc., the decimal will always be terminal.