Which of the following fractions is equivalent to 0.5?

The fraction that is equivalent to 0.5 is 1/2. To understand why, it's useful to convert the decimal 0.5 into a fraction form. The decimal 0.5 can be expressed as 5/10 since there is one digit after the decimal point, indicating tenths. Simplifying 5/10 by dividing both the numerator and the denominator by their greatest common divisor, which is 5, results in 1/2.

Additionally, viewing the fraction 1/2 in relation to a whole demonstrates that it represents half of a whole, directly aligning with the value of 0.5, which also signifies one-half. This connection between the decimal and the fraction reinforces their equivalence.

In contrast, the other options do not represent the same value as 0.5. For example, 1/4 equals 0.25, 2/3 equals approximately 0.67, and 3/4 equals 0.75. None of these fractions capture the equivalent value of one-half or 0.5. Thus, it's clear that 1/2 stands out as the fraction equivalent to 0.5.