The reciprocal of a positive rational number $\frac{2}{3}$ is _______.

The reciprocal of a number is the number that, when multiplied by the original number, results in a product of 1.  In general, the reciprocal of a fraction a/b is b/a.

Therefore, the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$ because $\frac{2}{3}$x $\frac{3}{2}$= 1.