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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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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

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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

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Example 1

Add the two rational expressions

Note that the denominators are not common

Determine the LCD

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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.

Add the two rational expressions

Determine the LCD

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Example 3

Subtract the two rational expressions

Note that the denominators are not common

Determine the LCD

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Example 4

Subtract the two rational expressions

Note that the denominators are not common

Determine the LCD

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END OF PRESENTATION

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