Compute: 1/2÷2/3 . Simplify the answer if possible.

To simplify the expression 1/2 ÷ 2/3, we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 2/3 is 3/2.

Thus, multiplying the fractions gives us:
1/2 * 3/2 = 3/4.

Therefore, 1/2 ÷ 2/3 simplifies to 3/4.