Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Rational Expressions and Their Simplification

A rational number is a fraction, like 2/5. A rational expression is a ratio in
which the numerator and denominator may both be polynomials, like

EXAMPLE: Find all numbers for which each rational expression is undefined.

The expression is undefined if the denominator is zero. When is the
denominator zero?

EXAMPLE: Find all numbers for which each rational expression is undefined.

SIMPLIFYING RATIONAL EXPRESSIONS:

A rational expression can be simplified by dividing out common factors
shared by its numerator and denominator. For example,

We can’t cancel common terms:
factors:
WRONG

We can cancel common

RIGHT

 TO SIMPLIFY A RATIONAL EXPRESSION 1.) Factor the numerator and denominator completely 2.) Divide out all the common factors

EXAMPLE: Simplify

EXAMPLE: Simplify the following

EXAMPLE: Find the opposites of the following

How can you notice opposite pairs?
What is the ratio of two expressions that are opposite pairs?

EXAMPLE: Simplify