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Rational Expressions and Their Simplification
Radical Expressions and Equations
Algebraic Expressions
Simplifying Algebraic Expressions
Rational Expressions and Functio
Rational Expressions and Functions
Radical Expressions
Rational Expressions Worksheet
Adding and Subtracting Rational Expressions
Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Fractions, Mixed Numbers, and Rational Expressions
Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Simplifying Rational Expressions
Complex Rational Expressions
Rational Expressions and Equations
Integration of Polynomial Rational Expressions
Algebraic Expressions
Radical Expressions & Radical Functions
Rational Class and Expression Evaluator
Adding and Subtracting Rational Expressions
Rational Expressions
Radical Expressions
Multiplying Rational Expressions
Rational Expressions and Common Denominators
rational expressions
Polynomial Expressions
Rational Functions, and Multiplying and Dividing Rational Expressions
Simplifying Radical Expressions
Adding and Subtracting Rational Expressions
Rational Expressions and Equations
Rational Expressions
RATIONAL EXPRESSIONS II
Simplifying Expressions
Quadratic Expressions,Equations and Functions
RATIONAL EXPRESSIONS
Absolute Value and Radical Expressions,Equations and Functions
Rational Expressions & Functions

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Adding and Subtracting Rational Expressions

When adding or subtracting fractions with common denominators, we

Example: Perform the operations. Simplify if possible.

Be careful with subtraction!!

Do homework problems 13 − 43 every-other-odd

What if the fractions do not have a common denominator? After we stop crying and/or
cursing, we must find the Least Common Denominator (LCD)

The LCD for a set of fractions is the smallest number that each denominator will
divide into. And, to find the LCD….

Finding the LCD

• Factor each denominator completely.

• Form a product using each factor (from above). Be sure to use each factor the
greatest number of times it appears in any one factorization.

Example: Find the LCD for the following (Do not need to perform the addition)


Do homework problems 57− 65 odd

Example: Perform the operations. Simplify if possible.

Do homework problems 67 − 85 odd (All problems assigned in Sec 6.3 can now be worked)