Reciprocal of a Rational Number at Algebra Den

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Home >> Numbers >> Real Numbers >> Rational Numbers >> Reciprocal of a Rational Number >>

Reciprocal of a Rational Number

Equivalent Rational Numbers Positive Rational Numbers Negative Rational Numbers Rational Numbers in Standard Form Compare Rational Numbers
Addition of Rational Numbers Addition of Rational & Natural Number Addition of Rational Number & Integer Subtraction of Rational Numbers Subtraction of Rational Number & Integer
Multiplication of Rational Numbers Multiplication of Rational & Natural Number Multiplication of Rational Number & Integer Reciprocal of a Rational Number Division of Rational Numbers

Before you understand this concept, you are adviced to read:

What is Reciprocal of Fraction ?

Rational Number obtained after interchanging numerator and denominator of the given rational number, is referred to as Reciprocal of Rational Number .

Or simply we say that:
Reciprocal of Rational Number means interchanging of numerator and denominator.

In order words,
Rational Number obtained after inverting the given rational number is called Reciprocal of Rational Number.

Example 1: Find Reciprocal of -2/3
Solution: In the given rational number:
Numerator = (-2)
Denominator = 3

Now, we know to find the reciprocal of given rational number, we need to interchange the numerator and denominator.
So numerator and denominator of its reciprocal are:
Numerator = 3
Denominator = (-2)

And the resultant rational number is (3/-2)

Therefore Reciprocal of given rational number (-2/3) is (3/-2)

Example 2: Find Reciprocal of 5/-11
Solution: In the given rational number:
Numerator = 5
Denominator = (-11)

Now, we know to find the reciprocal of given rational number, we need to interchange the numerator and denominator.
So numerator and denominator of its reciprocal are:
Numerator = (-11)
Denominator = 5

And the resultant rational number is (-11/5)

Therefore Reciprocal of given rational number (5/-11) is (-11/5)

Example 3: Find Reciprocal of (-9/-3)
Solution: In the given rational number:
Numerator = (-9)
Denominator = (-3)

Now, we know to find the reciprocal of given rational number, we need to interchange the numerator and denominator.
So numerator and denominator of its reciprocal are:
Numerator = (-3)
Denominator = (-9)

And the resultant rational number is (-3/-9)

Therefore Reciprocal of given rational number (-9/-3) is (-3/-9)