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Math 110 Chapter 7

QuestionAnswer
Rational Expression: the ratio of two polynomials
Step 1 for multiplying fractions: Factor the numerators and denominators of all rational expressions.
Step 2 for multiplying fractions: Simplify the ratios of common factors to 1 and opposite factors to −1.
Step 3 for multiplying fractions: Multiply the remaining factors in the numerator, and multiply the remaining factors in the denominator.
How do you divide a fraction? Flip the second fraction, then multiply.
Step 1 for finding the LCD of rational expressions: Factor denominators completely.
Step 2 for finding the LCD of rational expressions: The LCD is the product of unique prime factors from the denominators, in which each factor is raised to the highest power to which it appears in any denominator.
Step 1 for writing an equivalent fraction (with common denominators) Identify the LCD
Step 2 for writing an equivalent fraction (with common denominators) Multiply the numerator and denominator of each fraction by the factors from the LCD that are missing from the original denominators.
Step 1 for adding/subtracting rational expressions: Factor the denominators
Step 2 for adding/subtracting rational expressions: Identify the LCD
Step 3 for adding/subtracting rational expressions: Rewrite each expression as an equivalent expression with LCD denominators.
Step 4 for adding/subtracting rational expressions: add or subtract the numerators
Step 5 for adding/subtracting rational expressions: Simplify.
Step 1 for simplifying a complex fraction: Add or subtract expressions in the numerator and denominators to form a single fraction:
Step 2 for simplifying a complex fraction: Divide the rational expressions from step 1 by multiplying the numerator of the complex fraction by the reciprocal of the denominator
Step 3 for simplifying a complex fraction: Simplify to lowest terms if possible.
Step 1 for solving a rational equation: Factor denominators, Identify restricted values.
Step 2 for solving a rational equation: Identify the LCD of all expressions
Step 3 for solving a rational equation: Multiply both sides by the LCD
Step 4 for solving a rational equation: solve!
Step 5 for solving a rational equation: Plug & Chug to check the answers.
What does Sarah do? Rock.
Created by: sarahbradshaw042
 

 



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