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Friday, February 13, 2009

How to simplify complex fractions?

Question
Note: I had a difficulty understanding the equation. Below is my understanding of the equation.






(m + 2)* (m - 2)
--------------------
(2m + 4) * (m^2 - 4)






Solution
First, breakdown the equation to its simplest form. Hence

(m + 2)* (m - 2) (m + 2)* (m - 2)
-------------------- = ------------------------------
(2m + 4) * (m^2 - 4) 2 * (m + 2) * (m -2) * (m-2)

Now, you can cancel like numbers. Meaning if a number is in the numerator AND denominator, then they cancel each other. Hence, (m + 2) and (m -2) are canceled in the numerator and denominator.

Therefore,
1
------------------
2* (m-2)

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