Dividing Rational Expressions


Related Topics:
More Lessons for Algebra
Math Worksheets




Share this page to Google Classroom

How to divide 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.

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 multiply the two expressions.

The following diagram shows how to divide rational expressions. Scroll down the page for more examples and solutions.
Divide Rational Expressions
 

Example:

Simplify the following expressions:

Solution:

Divide Rational Expressions Examples



How to divide rational expressions?

How to divide rational expressions containing 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.