	Algebra Tutorials!

Saturday 31st of July


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	Simplifying Complex Fractions 1
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Adding or Subtracting Rational Expressions with Different Denominators

Example

Subtract:

Solution
Step 1 Find the LCD. Factor each denominator.
The second fraction can be simplified by canceling the common factor of w.
The LCD is (w + 2)(w - 1).
Step 2 Rewrite using the LCD. Multiply the second fraction by	The first fraction already has the LCD as its denominator. So, we do not need to multiply it by anything.
Remove the parentheses in the numerator.
Step 3 Subtract.		When simplifying -(w - 1), remember to distribute the negative sign to both terms inside the parentheses. The result is -w - 1.
Distribute the negative sign to remove parentheses.
Combine like terms.
Step 4 Reduce. There are no common factors to reduce. So, the result is .