Add & Subtract Rationals – Unlike Denominators

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# Add & Subtract Rationals – Unlike Denominators - PowerPoint PPT Presentation

Add & Subtract Rationals – Unlike Denominators. It is assumed that you understand the material in the three previous modules:. 1) Addition and subtraction of rational expressions with common denominators. 2) Finding the LCM of two expressions.

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Presentation Transcript

Add & Subtract Rationals – Unlike Denominators

• It is assumed that you understand the material in the three previous modules:

1) Addition and subtraction of rational expressions with common denominators

2) Finding the LCM of two expressions

3) Writing equivalent rational expressions

To add or subtract rational expressions with unlikedenominators:

1) Determine the LCD (LCM of the denominators)

2) Write each rational expression as an equivalent rational expression with the LCD as its denominator

3) Add or subtract as you did with common denominators

Example 1

Note that the denominators are not common

Determine the LCD

Example 2

In the last problem, we went to great detail to find the equivalent rational expressions. Here is a shorter version of the same problem.

Determine the LCD

Example 3

Subtract the two rational expressions

Note that the denominators are not common

Determine the LCD

Example 4

Subtract the two rational expressions

Note that the denominators are not common

Determine the LCD

END OF PRESENTATION

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