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
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?
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?
Given Expression is 3/11*4/5
Reciprocal of 12/55 is 55/12 i.e. after Interchanging the Numerator and Denominator.
3. Find the reciprocal of -4/3 × 7/-8?
Given Rational Expression is -4/3 × 7/-8
The reciprocal of 7/6 is 6/7.