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Which of these denominators guarantees a terminating decimal for a fraction already in lowest terms?

Class 10Decimal ExpansionsNumber Systems

A80
B75
C90
D210

Step-by-Step Solution

80 = 2^{4} \times 5

(only 2 and 5).

75 = 3 \times 5^{2}, 90 = 2 \times 3^{2} \times 5, 210 = 2 \times 3 \times 5 \times 7

all contain other primes.

Answer: A) 80

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