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**Multiplying, Dividing, Adding, Subtracting Rational Expressions**

MA 1128: Lecture 14 – 11/3/14 Multiplying, Dividing, Adding, Subtracting Rational Expressions

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**Multiplying and Dividing Fractions**

Rational expressions differ from regular fractions in that they have variables. These variables represent numbers, however, so the basic rules that apply to fractions also apply to rational expressions. For fractions, multiplying is easy. Here, think of the 2 and 3 as being multiplied (top), and the 4 and 5 are divided (bottom). When you divide, you should do the opposite. Next Slide

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**Dividing: Invert and Multiply**

Remember: To divide fractions, invert and multiply. With rational expressions, it goes the same way. Look at these three examples. Next Slide

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**Practice Problems Multiply or Divide. Simplify. Answers on next slide.**

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**Answers to Practice Problems on last slide**

Next Slide

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**Adding and Subtracting**

With regular fractions, we need a common denominator before we add or subtract. Consider these three examples. Next Slide

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**Adding and Subtracting (cont.)**

For rational expressions, we do the same. If we have a common denominator, just add or subtract the numerator. Remember to subtract every term! Next Slide

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**Practice Problems Click for answers:**

1) 1; 2) x – 1; 3) [x-3]/[x+1]; 4) 1. End

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10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.

10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.

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