What is the reciprocal of -2/3?
Reciprocal is a number which when multiplied by the given number gives the product 1.
Answer: The reciprocal of -2/3 is -3/2.
Let us find the reciprocal of -2/3.
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.