Question

How do you find the reciprocal of 4 1/3?

Answer 1

The reciprocal of `4 1/3` is `3/13`

Explanation:

In general, the reciprocal of an improper fraction `a/b` is `b/a`

In the case of `4 1/3` we have a mixed fraction.

In order to find the reciprocal, we start by converting it into an improper fraction:

`4 1/3 = 4+1/3 = (4*3)/3+1/3 = 12/3+1/3 = (12+1)/3 = 13/3`

So the reciprocal is `3/13`