What is the reciprocal of -2/3?

Solution:

Reciprocal is a number which when multiplied by the given number gives the product 1.

The reciprocal of any number is its multiplicative inverse. If the product of two numbers is one, then one number is the reciprocal of the other.

For example, if a × b = 1, then b is reciprocal of a and vice-versa.

a = 1/b and b = 1/a

It should be noted that the number '0' does not have any reciprocal.

Here, a = -2/3 then b = 1/(-2/3) = 3/(-2) = -3/2

Therefore, -2/3 and -3/2 are reciprocals of each other.

Thus, the reciprocal of -2/3 is -3/2.

What is the reciprocal of -2/3?

Summary:

The reciprocal of -2/3 is -3/2.