Which fraction is equivalent to 3/4 when comparing only like fractions?

The fraction 6/8 is equivalent to 3/4 because both fractions represent the same part of a whole when simplified. To see this, you can simplify 6/8 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. When you simplify 6/8, you divide 6 by 2 to get 3, and 8 by 2 to get 4, resulting in 3/4.

This shows that 6/8 and 3/4 are equal because they express the same ratio of parts to the whole. In contrast, the other fractions (5/12, 7/9, and 1/2) do not simplify to 3/4 or have different numerators and denominators that do not represent the same proportional relationship as 3/4.