
Complex Fractions: More Examples (page 2 of 2)
Can I start by hacking off the x – 3's? Can I cancel the 4 with the 12? Or the 3 with the 9 or the 12? (Hint: No!)
Clearly, nothing cancels, so my final answer is: It is highly unusual for a complex fraction to simplify this much, but it can happen. In this case, the "except for x equal to 3" part is rather important, since the original fraction is not always equal to ^{3}/_{4}. Indeed, it is not even defined for x equal to 3 (since this would cause division by zero).
I can only cancel factors, not terms, so the above cancellations are not proper.
Then my final answer is: Copyright © Elizabeth Stapel 20032011 All Rights Reserved
Can I start by canceling off the 1's or the 1/t's? (Hint: No!)
Can I cancel off the t's now? Or cancel off the 1's? (Hint: No!) I can only cancel off factors, not terms, and nothing factors here, so this is as simplified as it gets. The final answer is: When working with complex fractions, be careful to show each step completely. Don't try to skip steps or do everything in your head. And don't get careless with cancellation; remember that you can only cancel factors, not terms. If you remember this, and do your work clearly, you should be fairly successful with these problems. << Previous Top  1  2  Return to Index


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