This option is correct because 50% means 50 out of 100. Writing this as a fraction gives 50/100. Dividing numerator and denominator by their greatest common divisor 50 gives 1/2. Therefore, 50% equals the fraction 1/2.
Option A:
The fraction 1/3 corresponds to approximately 33.33%, not 50%. It does not represent half of a whole. Hence, this option is not correct.
Option B:
The fraction 1/4 is equal to 25%, which is half of 50%. Therefore, 1/4 is too small to match 50%. So, this option is incorrect.
Option C:
The fraction 1/2 represents exactly half of a unit, which matches the idea of 50%. Converting back to a percentage gives 0.5 ร 100 = 50%. Thus, this option correctly expresses 50% as a fraction.
Option D:
The fraction 2/3 corresponds to about 66.67%, which is greater than 50%. Therefore, it does not represent 50% and cannot be the correct answer.
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