Question

the reciprocal of 5 2/3 is_

Answer 1

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Answer 2

To find the reciprocal of a mixed fraction, we need to first convert it into an improper fraction. This is done by multiplying the whole number with the denominator of the fraction, adding the product to the numerator of the fraction and placing it above the same denominator while retaining the sign. Therefore;
5*2/3 = {5*3}+2/3 which gives you 17/3.

In the case of a fraction, the reciprocal is determined simply by reversing the fraction ; i.e. by making the numerator the denominator and vice versa.
Therefore 3/17
Hence reciprocal of 5 2/3 is 3/17.