Solving Rational Equations (Clearing the Denominator)

Learn how to solve rational equations in this free math video tutorial by Mario's Math Tutoring. We discuss how to clear the denominators by multiplying through by the common denominator. We also discuss extraneous solutions and how to check for them.

0:16 What is a Rational Equation
0:32 Introductory Example Clearing the Denominator in 3/x - 2/4 = 8/(4x)
2:05 Check for Extraneous Solutions
2:27 Example 1 21/(x-4) - 16/(x-3) = (5x+1)/(x^2 - 7x + 12)
4:03 How to Recognize if the Solution is All Real Numbers

Related Videos:

Solving Rational Equations Easier Method

Learn Algebra 1 Lesson by Lesson in my "Learn Algebra 1" video course for sale here:

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

[MariosMathTutoring]

Check out my Learn Algebra 1 Video Course for sale. I teach you chapter by chapter and section by section. There are 87 video lessons and over 11 hours of video. For less than the price of a private tutoring session you have lifetime access to the course and can work through it at your own pace. Check out the 13 free lessons (1 from each chapter) at the link above.
- Mario

[vzm]

I'd just like to say thank you a lot for this- I'm in quite the stressful math situation right now, and these videos are super helpful. Respect, good sir 👏

[herbcruz]

In the equation in the thumbnail, the solutions are x = - (1/2) ± (sqrt(21)/2).

[okkgifl]

thank you! so much easier than the 30 minute video my teacher sent out