# How do you find the reciprocal of #-5 1/3#?

##### 1 Answer

The reciprocal is

#### Explanation:

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. In the above case:

Now, a reciprocal is a number which when multiplied by the original number, results in

We can check this out by multiplying the two.

Since the product of two negatives is a positive, we can drop the negative signs.

Therefore the reciprocal of