Raju said that the reciprocal of 1 1 2 is 1 2 1 . Is he right?

We know that the reciprocal of a fraction is obtained by interchanging its numerator and denominator. And, in order to find the reciprocal of a mixed fraction, first, we have to convert the mixed fraction into an improper fraction. Hence, in order to find the reciprocal of the mixed fraction 1 1 2 , we have to convert it into an improper fraction, which is 3 2 . Now, we shall find the reciprocal of 3 2 . In the fraction 3 2 , the numerator is 3 and the denominator is 2 . So, the reciprocal will have 2 as its numerator and 3 as its denominator. So, the reciprocal of the fraction 3 2 is 2 3 . In this case what Raju had done was, he did not convert the mixed fraction into the improper fraction before finding the reciprocal. Hence, Raju was wrong.