Which of the following percentages represents 50% as a fraction?

Which of the following percentages represents 50% as a fraction?

• A. 1/4
• B. 1/2
• C. 3/4
• D. 1/3

Answer: (B)

To understand why this choice represents 50% as a fraction, it's essential to consider what 50% means in fractional terms. Percent means "per hundred," so 50% can be expressed as 50 out of 100. In fractional form, this is written as 50/100. When simplified, this fraction reduces to 1/2. This simplification occurs because both the numerator (50) and the denominator (100) can be divided by their greatest common divisor, which is 50. Thus, 50/100 simplifies to 1/2, making it the correct representation of 50%. The other provided choices do not represent 50%. For instance, 1/4 represents 25%, 3/4 represents 75%, and 1/3 is approximately 33.33%, none of which equate to 50%. Hence, choosing 1/2 is the only correct response to express 50% accurately.

To understand why this choice represents 50% as a fraction, it's essential to consider what 50% means in fractional terms.

Percent means "per hundred," so 50% can be expressed as 50 out of 100. In fractional form, this is written as 50/100. When simplified, this fraction reduces to 1/2. This simplification occurs because both the numerator (50) and the denominator (100) can be divided by their greatest common divisor, which is 50. Thus, 50/100 simplifies to 1/2, making it the correct representation of 50%.

The other provided choices do not represent 50%. For instance, 1/4 represents 25%, 3/4 represents 75%, and 1/3 is approximately 33.33%, none of which equate to 50%. Hence, choosing 1/2 is the only correct response to express 50% accurately.