Which of the following numbers has a terminating decimal representation?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. .
A fraction in its lowest terms has a terminating decimal representation if and only if its denominator has only prime factors 2 and/or 5.
Denominator of 3/8 = 8 = 23 → Only prime factor 2 → Terminating
Denominator of 1/6 = 6 = 2 × 3 → Has factor 3 → Non-terminating
Denominator of 2/7 = 7 → Prime factor 7 → Non-terminating
Denominator of 4/9 = 9 = 32 → Prime factor 3 → Non-terminating