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Rational Expressions Finding LCD Algebra
Review: Adding Fractions You can only add like to like Same Denominators
Different Denominators Make them the same find a common denominator The product of all denominators is always a common denominator But not always the least common denominator
Finding the LCD Example:
Factor the Denominators
Assemble LCD Each factor in the denominators needs to be used at least once in the LCD.
Build up Fractions to LCD ×5 ×4
Add Numerators And Reduce if Needed
Rational Expressions Example:
Factor the Denominators
Assemble LCD DENOMINATORS Each factor in the denominators needs to be used at least once in the LCD.
Build up Fractions to LCD LCDxxx ()( )111 x ()1 x ()1)(x ()1 x ()1 FACTORED DENOMINATORS
Summary of Steps 1.Factor denominators 2.Assemble LCD 3.Build up Fractions 4.Add/Subtract Numerators 5.Simplify Numerator 6.Reduce Factors if Possible
Add or subtract as indicated. So the LCD is 2(x + 3)(x – 3)
Subtract So the LCD is (x – 2)(x + 3)(x – 3)
15. Solve each of the following equations.
Adding and Subtracting Simple Fractions 6-7Page 354
LCDs for Rational Expressions
Addition and Subtraction
Rational Expressions Finding LCD Algebra 1 & Algebra 1 Honors
Adding and Subtracting Rational Expressions:
10-5 Addition and Subtraction: Unlike Denominators Standard 13.0: Add and subtract rational expressions.
Section 6.1 Rational Expressions.
Adding and Subtracting Fractions with Like Denominators.
1.1 Linear Equations A linear equation in one variable is equivalent to an equation of the form To solve an equation means to find all the solutions of.
We will use addition or subtraction to solve problems involving fractions and mixed numbers. I will subtract a problem involving fractions and mixed numbers.
9.5 Adding and Subtracting Rational Expressions 4/23/2014.
Adding and Subtracting Mixed Numbers Objective: Learn to add and subtract mixed numbers.
Simplifying Rational Expressions: Addition and Subtraction.
10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.
11-7 Rational Expressions with Unlike Denominators Algebra 1 Glencoe McGraw-HillLinda Stamper.
Notes Over 11.6 Adding and Subtracting Rational Expressions Simplify the expression.
7.3 Adding and Subtracting Rational Expressions with Common Denominators and LCD Math, Statistics & Physics 1.
6.2 – Rational Expressions Adding and Subtracting What is the Lowest Common Denominator (LCD)?
12-6 Rational Expressions with Like Denominators Objective: Students will be able to add and subtract rational expressions with like denominators.
9.2 Adding and Subtracting Rational Expressions Algebra II w/ trig.
9.5: Addition, Subtraction, and Complex Fractions Objectives: Students will be able to… Add and subtract rational expressions Simplify complex fractions.
8.4: Do Now: Multiply the expression. Simplify the result.
3.10 Warm Up Do # 4, 8, & 12 on pg. 268 Do # 4, 8, & 12 on pg. 268.
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