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Multiplying Rational Expressions




 

A rational expression is a fraction in which either the numerator, or the denominator, or both the numerator and the denominator are algebraic expressions.

When two fractions are multiplied, we multiply the numerators of the fractions to form the new numerator and we do the same for the denominators. This is the same with rational expressions. If there are common factors in both numerator and denominator of the two rational expressions then we may cancel them before we multiply.

Related Topics:
More Algebra Lessons

Free Algebra Worksheets


Example:

Simplify the following expressions:

Solution:


The following video shows how to multiply rational expressions.

The following video shows how to multiply a rational expression where a binomial common factor has opposite sign.



Rational Expressions: Multiplying and Dividing. Ex 1
This video shows how to divide two rational expressions containing binomials.
Rational Expressions: Multiplying and Dividing. Ex 2
How to divide two rational expressions containing quadratic trinomials.


 
Rational Expressions: Multiplying and Dividing. Ex 3
How to divide two rational expressions.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.




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