Which of the following fractions is a terminating decimal?
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A.
5/8
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B.
1/3
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C.
1/7
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D.
2/11
Correct Answer:
A. 5/8
Explanation:
A fraction results in a terminating decimal if its denominator, when the fraction is in its simplest form, has no prime factors other than 2 or 5. This occurs because the decimal system is base-10, and the prime factors of 10 are 2 and 5. If a simplified denominator contains any other prime factors, such as 3, 7, or 11, the division will result in an infinitely repeating decimal pattern. To identify a terminating decimal, first reduce the fraction to its lowest terms and then check if the prime factorization of the denominator consists solely of 2s, 5s, or both.
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