Learning Objectives:

__Math Tutoring on ____Adding and Subtracting Rational Expressions__

Let us take a look at how we add or subtract with like denominators before we discuss how to add or subtract with unlike denominators. As we can see here, if we want to add or subtract fractions with like denominators we simply add or subtract the numerators and then simplify if possible. To add or subtract **rational** expressions with unlike denominators we must first rewrite each expression using the **Least Common Denominator (LCD).** So we have to have a common denominator to **add or subtract Rational Expressions**. The **LCD **must contain all of the different factors in the polynomials and each factor must be repeated the maximum number of times it occurs in any one of the polynomials. So here is how we are going to do this in math tutoring. We will factor all the denominators and we will use these factors to determine the **LCD,** and then we will multiply the numerator and denominator of each fraction by any missing factors to form the **LCD**. Then we will add the fractions and simplify.

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**Hook questions:**

*1. **How do you find the sum or difference of rational expressions different denominators?*

*2. **What is the definition of rational algebraic expression? *

*3. **How do you add fractions with variables?*

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