Bunuel wrote:

Which of the following can be expressed as a terminating decimal?

A. 1/25 + 1/35

B. 1/225 + 1/1,250

C. 1/11,000 + 1/13,000

D. 1/75 + 1/35

E. 1/125 + 1/8

When solving this problem, we should remember that there is a special property about fractions that allows their decimal equivalents to terminate. This property states:

In its most-reduced form, any fraction with a denominator whose prime factorization contains only 2s, only 5s, or both 2s and 5s produces decimals that terminate. A denominator with any other prime factors produces decimals that do not terminate.

Furthermore, the sum of two terminating decimals is also a terminating decimal. Scanning out answer choices, we see that the fractions in answer choice E are 1/125 (which is 1/5^3) and 1/8 (which is 1/2^3). Since each fraction is a terminating decimal, their sum will be also a terminating decimal.

Answer: E

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Jeffery Miller

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