Section 6.3 Adding and Subtracting Rational Expressions

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Presentation transcript:

Section 6.3 Adding and Subtracting Rational Expressions © Copyright all rights reserved to Homework depot: www.BCMath.ca

I) Review L.C.D. When adding or subtracting fractions, they must have a common denominator Ex: Find the LCD & Simplify the following L.C.D. L.C.D. Add the Numerator when the denominator are the same

II) Changing the Denominator for R.E. When adding/subtracting R.E., they must have a common denominator (LCD) Ex: Change the R.E. to the following denominators

III) Adding/Subtracting R.E. Ex: Simplify the following L.C.D. L.C.D.

Ex: Simplify

IV) Simplifying R.E. with Fractions When Simplifying R.E. with Fractions, multiply ALL terms with the LCD to cancel out any denominators Find the denominator in each fraction: Denominator: Find the LCD: Find the LCD: Multiply all terms by LCD Multiply all terms by LCD to cancel out the Denominator (Distribution/Expand)

V) Adding R.E. with Binomials in the Denominator If the denominator is a trinomial factor it first To add/subtract R.E., there needs to be a Common Denominator Ex: Simplify the following LCD LCD © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Simplify LCD LCD © Copyright all rights reserved to Homework depot: www.BCMath.ca

Ex: Factor the denominator and simplify © Copyright all rights reserved to Homework depot: www.BCMath.ca

Challenge: Simplify & state the NPV © Copyright all rights reserved to Homework depot: www.BCMath.ca

Homework Assignment 6.3