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Which of the following will have a terminating decimal expansion?

A5/9
B3/7
C7/40
D11/30
Answer & Solution
Correct answer: C. 7/40
40 = 2³·5 has no primes other than 2 and 5 → terminating. 9 = 3², 30 = 2·3·5, 7 are all foreign to 10 → non-terminating.
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