View by Category

The presentation will start after a short

(15 second) video ad from one of our sponsors.

Hot tip: Video ads won’t appear to registered users who are logged in. And it’s free to register and free to log in!

(15 second) video ad from one of our sponsors.

Hot tip: Video ads won’t appear to registered users who are logged in. And it’s free to register and free to log in!

Loading...

PPT – Rational Expressions PowerPoint presentation | free to download - id: 202af4-ZDc1Z

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Rational Expressions

- Much of the terminology and many of the

techniques for the arithmetic of fractions of

real numbers carry over to algebraic fractions,

which are the quotients of algebraic expressions. - In particular, the quotient of two polynomials is

referred to as a rational expression. - The rules for multiplying and dividing rational

expressions are the same as those for multiplying

and dividing fractions of real numbers. Do you

recall what they are? - To simplify a rational expression, use the

cancellation principle

Factoring and Cancellation

- Simplification of a rational expression is often

a two-step process (1) Factor, and (2) Cancel. - Problem. Simplify

Solution. (1) Factor numerator and

denominator

(2) Cancel common factors - Warning!!! Only multiplicative factors can be

cancelled.

Adding and Subtracting Rational Expressions

- When two rational expressions have the same

denominator, the addition and subtraction rules

are - To add or subtract rational expressions with

different denominators, we must first rewrite

each rational expression as an equivalent one

with the same denominator as the others. - Example. Add the rational expressions

Since the denominators are different, we

convert each expression to an equivalent

expression with denominator 6.

Least Common Denominator

- Although any common denominator will do for

adding rational expressions, we will concentrate

on finding the least common denominator, or LCD,

of two or more rational expressions. - The LCD is found by a 3-step process (1) Factor

the denominator of each fraction, (2) Find the

highest power (final factor) to which each factor

occurs, and (3) The LCD is the product of the

final factors. - Example. Find the LCD

Addition of Rational Expressions

- Addition of rational expressions is a 3-step

process (1) Find the LCD.

(2) Write each expression as an

equivalent expression which has denominator equal

to the LCD.

(3) Add the rational expressions from Step

2. - Example.

Complex Fractions

- We want to simplify a complex fraction, which is

a fractional form with fractions in the numerator

or denominator or both. - Simplifying a complex fraction is a 2-step

process. (1) Find the LCD of all fractions

in the numerator and denominator. (2)

Multiply both numerator and denominator by the

LCD. - Example. (1) The

LCD is ab. (2) The result is

Summary of Rational Expressions We discussed

- Rational expressions
- The cancellation principle
- Addition of rational expressions with the same

denominator - Least common denominator (LCD) and how to find it
- Addition of general rational expressions as a

3-step process - Simplification of complex fractions as a 2-step

process

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Rational Expressions" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Stedwards University and other schools with their online training by sharing educational presentations for free