Divide Rational Expressions
In these lessons, we learn how to divide algebraic rational expressions which may contain binomials or trinomials.
Related Pages
More Algebra Lessons
Algebra Worksheets
Algebra Games
A rational expression is a fraction in which either the numerator, or the denominator, or both the numerator and the denominator are algebraic expressions.
To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. In other words, when you change the operation from ÷ to ×, you need to change the second fraction to its reciprocal by reversing the numerator and the denominator.
Similarly, when we divide rational expressions, we “flip” the second expression and then we factor, cancel and then multiply the two expressions.
Example:
Simplify the following expressions:
Solution:
How to divide rational expressions?
How to divide rational expressions containing trinomials?
Divide Rational Expressions
Dividing rational expressions
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
This video shows how to divide two rational expressions containing quadratic trinomials.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.