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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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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)