Adding and subtracting Rational Expressions

Adding and subtracting Rational Expressions - Adding or...

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Adding or Subtracting Rational Expressions with Common Denominators Step 1: Combine the numerators together. Step 2: Put the sum or difference found in step 1 over the common denominator. Step 3: Reduce to lowest terms as shown in Tutorial 8: Simplifying Rational Expressions. Why do we have to have a common denominator when we add or subtract rational expressions????? Good question. The denominator indicates what type of fraction that you have and the numerator is counting up how many of that type you have. You can only directly combine fractions that are of the same type (have the same denominator). For example if 2 was my denominator, I would be counting up how many halves I had. If 3 was my denominator, I would be counting up how many thirds I had. But I would not be able to add a fraction with a denominator of 2 directly with a fraction that had a denominator of 3 because they are not the same type of fraction. I would have to find a common denominator first, which we will cover after the next two examples.
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Example 1 : Add . View a video of this example Since the two denominators are the same, we can go right into adding these two rational expressions. Step 1: Combine the numerators together AND Step 2: Put the sum or difference found in step 1 over the common denominator. *Common denominator of 5 x - 2 *Combine the numerators *Write over common denominator *Excluded values of the original den.
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Step 3: Reduce to lowest terms. Note that neither the numerator nor the denominator will factor. The rational expression is as simplified as it gets. Also note that
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This note was uploaded on 02/18/2011 for the course MATH 101 taught by Professor Kindle during the Spring '11 term at South Texas College.

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Adding and subtracting Rational Expressions - Adding or...

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