SOLUTION: What is an easy way to add fractions that don't have the same denominator?

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Question 984706: What is an easy way to add fractions that don't have the same denominator?
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There is no such thing as an easy way to add fractions with dissimilar denominators. There is only a way. Find a common denominator and convert each of the fractions to that common denominator. Actually, it only needs to be the lowest common denominator if you want to make the process of reducing the sum fraction to lowest terms as easy as possible.

John

My calculator said it, I believe it, that settles it

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
That's not the quick easy way.  Here's the quick easy way:  

matrix%281%2C2%2CUPPER%2CLEFT%29%2Fmatrix%281%2C2%2CLOWER%2C+LEFT%29%22%22+%2B-+%22%22matrix%281%2C2%2CUPPER%2CRIGHT%29%2Fmatrix%281%2C2%2CLOWER%2C+RIGHT%29 %22%22=%22%22  

Illustration:

1%2F5%2B2%2F3%22%22=%22%22%281%2A3%2B2%2A5%29%2F%285%2A3%29%22%22=%22%22%283%2B10%29%2F15%22%22=%22%2213%2F15

It has one downfall, the resulting fraction is not always reduced.

Illustration:

3%2F8-1%2F16%22%22=%22%22%283%2A16-1%2A8%29%2F%288%2A16%29%22%22=%22%22%2848-8%29%2F128%22%22=%22%2240%2F128 reduces to 5%2F16

But even when that happens it's not all that hard to reduce the fraction we get.
So even with that downfall, the method above is still a good easy quick method.

Edwin