Divide Rational Expressions


In these lessons, we learn how to divide algebraic rational expressions which may contain binomials or trinomials.




Share this page to Google Classroom

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:
divide rational expressions

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 out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.