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Rational Expressions 1

Rat'l. Exp. 2 - mult&div

Rat'l. Exp. 3 - add&subt

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 UNIT 1 : PRECALCULUS PREP

 LESSON 7: RATIONAL EXPRESSIONS 3

 

Adding and Subtracting Rational Expressions:

 

Note that rational expressions are simply algebraic fractions. Hence when performing addition or subtraction, they must follow ordinary rules for fractions.

Specifically they must have a common denominator [LCD]. Some examples will illustrate the point.

 

Example 1:

 

 

Text Box: Adding and Subtracting Rational Expressions with LIKE DENOMINATORS:
	Keep the common denominator 
	Add or subtract the numerators
	State any restrictions  remember the denominators cannot equal 0.
 

 

 

 

 

 

 

 


Example 2:

 

Solution:

 

 

Text Box: Adding and Subtracting Rational Expressions with UNLIKE DENOMINATORS:
	Factor each denominator 
	LCD ---Take the highest exponent of each factor for algebraic factors
	LCD ---For numerical factors, take the LCD of the numbers
	Add or subtract the numerators, simplifying fully
	State any restrictions  remember the denominators cannot equal 0.
 

 

 

 

 

 

 

 

 

 

 

 


 

 

 

 

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