Multiplying And Dividing Rational Expressions Calculator


What is Multiplying And Dividing Rational Expressions Calculator?

'Cuemath's Multiplying And Dividing Rational Expressions Calculator' is an online tool that helps to calculate products or quotients of a given rational expression. Cuemath's online calculator helps you to calculate products or quotients of a given rational expression in a few seconds.

How to Use Multiplying And Dividing Rational Expressions Calculator?

Please follow the below steps to find the products or quotients of given rational expressions:

  • Step 1: Enter the numerator and denominator of rational expressions in the given input box.
  • Step 2: Click on the "Multiply" or 'Divide" button depending on the requirement.
  • Step 3: Click on "Calculate" button to find the product or quotient.
  • Step 4: Click on the "Reset" button to find the products or quotients for different rational expressions.

How to Find Multiplying And Dividing Rational Expressions?

A rational expression is a expression such that it can be expressed as the quotient or fraction p/q or simply quotient of two polynomials. It means both the numerator and denominator are polynomials.

Multiplication of Rational Expressions: We can multiply the numerators and the denominators and then simplify the product.

For example, multiply 4 / 5 and 9 / 8 = 4 / 5 × 9 / 8 = 36 / 40 = 9 / 10. The same can be applied to rational expressions.

Dividing Rational Expressions: To divide rational expressions, multiply the rational expression numerator by the reciprocal of the rational expression denominator.

For example, divide 2 / 3 and 5 / 9 = 2 / 3 × 9 / 5 = 18 / 15 = 6 / 5. The same can be applied to rational expressions.

Solved Example:

Multiply given rational expressions (x + 1) / (x + 2) and (x + 2) / (x + 1)

Solution:

Multiply (x + 1) / (x + 2) and (x + 2) / (x + 1)

= {(x + 1) / (x + 2)} × {(x + 2) / (x + 1)}

= {(x + 1) / (x + 1)} × {(x + 2) / {(x + 2)}

= 1

Similarly, you can try the calculator to find multiplying and dividing rational expressions for

1)  Divide 4x2 / 9 and 3x3 / 4      2) Multiply 2x2 / 5 and 4x / 6 

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