Simplifying Rational Expressions: Addition and Subtraction.

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Presentation transcript:

Simplifying Rational Expressions: Addition and Subtraction

Adding and Subtracting Fractions Add the Numerators Least Common Denominator (if you can find it) Common Denominator Remember to Simplify if Possible! Addition: Subtraction: Subtract the Numerators

Add/Subtract Rational Expressions Simplify: Same denominator! Half the work is done! CAREFUL with subtraction! Combine Like Terms Make sure it can’t be simplified more

Add/Subtract Rational Expressions Simplify: Find a Common Denominator Combine Like Terms

Add/Subtract Rational Expressions Simplify: Find a common denominator Distribute numerators but leave the denominators factored CAREFUL with subtraction Combine like Terms

Add/Subtract Rational Expressions Simplify: Factor to find a Smaller Common Denominator Make sure it can’t be simplified beforehand

Add/Subtract Rational Expressions Simplify: Factor to find a Smaller Common Denominator Make sure it can’t be simplified more