Multiplying and Dividing Rational Expressions

1 / 7

# Multiplying and Dividing Rational Expressions - PowerPoint PPT Presentation

Multiplying and Dividing Rational Expressions. Multiplying and Dividing Fractions. Multiply Numerators. Multiply:. Multiply Denominators. Divide:. Multiply by the reciprocal (flip). Remember to Simplify!. Example 1. Simplify the following expressions:.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Multiplying and Dividing Rational Expressions' - saeran

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Multiplying and Dividing Rational Expressions

Multiplying and Dividing Fractions

Multiply Numerators

Multiply:

Multiply Denominators

Divide:

Multiply by the reciprocal (flip)

Remember to Simplify!

Example 1
• Simplify the following expressions:

The techniques we use to simplify a fraction without variables (Finding the greatest common FACTOR) is the same we will use to simplify fractions with variables.

Example 2

These are just the values of x that make the expression undefined.

Simplify:

Half the work is done. It is already factored.

Combine the fractions by multiplying

Rewrite any factors if they are raised to a power

Cancel common factors

Example 3

These are just the values of x that make the expression undefined.

Simplify:

Multiply by the reciprocal (Flip the fraction)

Can NOT cancel since its not in factored form.

Factor

Make sure to Factor Completely

Cancel common factors

### OR

Example 3

These are just the values of x that make the expression undefined.

Simplify:

Can NOT cancel since its not in factored form.

Multiply by the reciprocal (Flip the fraction)

Almost the same as x – 5

Factor

Make sure to Factor Completely

TRICK: Factor out -1 to make it the same.

Cancel common factors