Which fraction has a TERMINATING decimal expansion?

A1/3

B1/7

C3/8

D5/12

Answer & Solution

Correct answer: C. 3/8

A fraction p/q (in lowest terms) has a terminating decimal iff the prime factorisation of q contains ONLY 2 and/or 5. Check: 3 = 3 (no), 7 = 7 (no), 8 = 2³ (yes — terminating!), 12 = 2²·3 (no, the 3 prevents termination). **So 3/8 = 0.375 terminates; the others repeat.**

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