Among the following, a terminating decimal is

Among the following, a terminating decimal is:

• Option A: 5/3
• Option B: 17/6
• Option C: 54/99
• Option D: 37/5

What is a Terminating Decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. To identify whether a fraction results in a terminating decimal, we must check if the denominator can be factored into only powers of 2 and 5 (i.e., the denominator is of the form 2^m × 5^n). If the denominator has any prime factor other than 2 or 5, the fraction will result in a repeating decimal.

Analyzing the Options:

Option A: 5/3

The denominator of 5/3 is 3. Since 3 is not a factor of 2 or 5, the decimal form of this fraction is a repeating decimal, not a terminating decimal. Therefore, this is not the correct answer to the question "Among the following, a terminating decimal is".

Option B: 17/6

The denominator of 17/6 is 6, which factors as 2 × 3. Since 3 is not a factor of 2 or 5, this fraction also results in a repeating decimal. Thus, this is not the correct answer to the question "Among the following, a terminating decimal is".

Option C: 54/99

The denominator of 54/99 is 99, which factors as 3^2 × 11. Since both 3 and 11 are not factors of 2 or 5, this fraction results in a repeating decimal. Hence, this is not the correct answer to the question "Among the following, a terminating decimal is".

Option D: 37/5

The denominator of 37/5 is 5, which is a factor of 5. Since the denominator is a power of 5, this fraction results in a terminating decimal. Therefore, the correct answer to the question "Among the following, a terminating decimal is" is 37/5.