The reciprocal of a fraction is obtained by flipping the numerator and the denominator. Therefore, the reciprocal of 2/3 is 3/2.
To find the reciprocal, you simply switch the two parts of the fraction. In this case, since the numerator is 2 and the denominator is 3, the reciprocal becomes 3 as the new numerator and 2 as the new denominator. This means that if you multiply 2/3 by its reciprocal 3/2, you will get 1, which is a property of reciprocals:
2/3 × 3/2 = 1