The reciprocal of a fraction is obtained by switching the numerator and the denominator. To find the reciprocal of 2/3, we simply swap the two numbers. Hence, the reciprocal of 2/3 is 3/2.
In more detail, if a fraction is represented as a/b, its reciprocal would be b/a. So, by applying this rule, for the fraction 2/3, you would take 3 (the denominator) and place it as the numerator of the new fraction and 2 (the numerator) as the denominator. Therefore, your final answer is 3/2.
Understanding reciprocals is crucial in mathematics, especially when solving equations or working with proportions. Being familiar with this concept can greatly enhance your mathematical skills!