Chapter 1
Linear Equations and Graphing
Course: Gre
Subject: Gre Quantitative Reasoning
Chapter: Rational Expressions And Equations
Introduction: Finding Common Denominators
Adding and subtracting rational expressions follows the same principles as adding and subtracting numerical fractions: a common denominator is required. The challenge arises because the denominators are polynomials, requiring factoring to find the least common denominator (LCD).
Steps for Adding and Subtracting Rational Expressions
| Step | Action | | 1 | Factor all denominators completely | | 2 | Find the LCD (least common denominator) | | 3 | Rewrite each fraction with the LCD | | 4 | Combine numerators over the LCD | | 5 | Simplify the numerator (combine like terms) | | 6 | Factor the numerator if possible | | 7 | Cancel any common factors | | 8 | Write the final simplified answer |
Example 1: Like Denominators
Simplify: u-v8v+6u-3v8v