alleryWhich 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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