In general, the Rational Number Obtained after interchanging the Numerator and Denominator is called Reciprocal of a Rational Number. Go through the entire article to learn how to find the Reciprocal of a Rational Number. Check out examples of finding the Reciprocal of Rational Numbers in the further sections and solve related problems easily.

## How to find Reciprocal of a Rational Number?

Reciprocal of a Rational Number means interchanging of numerator and denominator. Let us assume a Non-Zero Rational Number a/b there exists a rational number b/a such that

a/b*b/a=1

Here the rational number b/a is called the Reciprocal or Multiplicative Inverse of a/b and is denoted by (a/b)^{-1}.

### Solved Examples on finding Reciprocal or Multiplicative Inverse

1. Find the Reciprocal of -3/2?

**Solution:**

Given Rational Number is -3/2

Numerator = -3

Denominator = 2

Interchanging the Numerator and Denominator to obtain the Reciprocal i.e. we have the Numerator = 2, Denominator = -3

Resultant Rational Number = 2/-3

Reciprocal of a Rational Number is 2/-3.

2. Find the reciprocal of 3/11*4/5?

**Solution:**

Given Expression is 3/11*4/5

= 3*4/11*5

= 12/55

Reciprocal of 12/55 is 55/12 i.e. after Interchanging the Numerator and Denominator.

3. Find the reciprocal of -4/3 × 7/-8?

**Solution:**

Given Rational Expression is -4/3 × 7/-8

= -4*7/3*-8

= -28/-24

= 7/6

The reciprocal of 7/6 is 6/7.