Simplifying Complex Rational Expressions

This algebra video tutorial explains how to simplify complex rational expressions by multiplying the numerator and denominator by the least common denominator. This video contains plenty of examples and practice problems.

Fundamental Theorem of Algebra:

Rational Expressions - Basic Intro:

Simplifying Rational Expressions:

Multiplying Rational Expressions:

Dividing Rational Expressions:

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Adding & Subtracting Rational Expressions:

Rational Expressions - Unlike Denominators:

Simplifying Complex Rational Expressions:

How To Solve Rational Equations:

Rational Equations - Extraneous Solutions:

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Horizontal and Slant Asymptotes:

Finding Rational Functions Given 2 Points:

Rational Functions - X and Y Intercepts:

Graphing Advanced Rational Functions:

Rational Inequalities:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[katelynbroadney]

Thank you so much. My teacher teaches this topic with such a long solution that's why I don't get it. But when I come here, I was shocked because the way you teach is so simple and with a short solution. I hope you grow your channel. God bless you

[Asorour]

Somebody give this man a good typing equipment please! I love your videos, very clean good explanation!

[CamilleBerneezHarvey]

You are a true genius thank you so much for your tutorials you're totally better than all my teachers together

[trh]

hate when I have to go to the dollar store to get tomato soup and I forget how to do complex rational equations.

[DS-izbq]

I needed a quick review, as I've started Pre-Calc this fall. Thanks for the great video!

[laniesomething]

just wanted to say im so grateful this account exists. i watch him every time and its like he has taught me my whole college course. i should be paying him instead of a professor that doesnt teach

[Jamey-xmdd]

This is such an excellent video! 👍 Thank you once again my dude.

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another amazing video/lecture on Simplifying Complex Rational Expressions in Algebra One/Two. Simplifying Complex expressions are fun and easy to understand.

[yakobboi]

Don’t you just hate it when it’s time to pay your taxes but you don’t know how to do complex rational operations with variables?

[bad.D]

Just passed my calc entrance exam. I couldn't have done it without your videos. I've been out of high school nearly a decade and forgot how to count to three. You've helped me tremendously.

[ten]

strugglin so much in college and this channel is saving my ass . big thanks man

[bluetube]

Learning something takes time and hard work.

Me: *i only have 5 minutes for the exam to start!*
*I DONT HAVE TIME*

[gabrielxandrenatavio]

Thanks for your explanations! Your videos are easy to understand and it also helps many.

[eh]

Bruh! Pearson math makes this complex for no reason!! You explained this and I immediately understood. Wow. No wonder you have the most followers on YouTube for math. MaybGod bless you

[loweys]

Dude thank you so much for this seriously. You just made this so easy to understand. Wow!!!🎉

[kimmy]

at 10:00 you could just to factoring by grouping so that its going to be easier. (7x^2 - 28) + (2x+4) divided by (5x^2 - 20) - (x+2) then 7 (x^2 - 4) + 2 (x+2) divided by 4 (x^2 - 4) - 1 (x+2) cancel out like terms and it is equal to 9/6 = 1 1/2

[Mark-iwub]

For the last question, notice that you can factor it out and not combining it, to save time

[ferzelborja]

What did you use for writing?
A blackboard?

[xLrz.._]

What I normally do with this is to simplify the complex fractions first on both numerator and the denominator then reciprocate the second fraction and then multiply coz dividing fraction is the same as multiplying the reciprocal of the second fraction.

[claudialamberts]

wow this is so fascinating! thank u for the help chat