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Simple algebraic fractions

Complex algebraic fractions can be very hard to explain, so I'm just going to cover the simpler ones in this topic. Don't worry, though - I'll do the harder ones too in the future.


Let's say we're given this question:


Simplify: 8x + 4xy

 

6x + 2xy


These kind really aren't any harder than a normal fraction. We need to find something that everything divides by. The obvious one is 2, so:


4x + 2xy

 

3x + xy



Actually, there's another common factor as well - x. If we cancel that, we get:


4 + 2y

 

3 + y


Ok, there are no more common factors, so this must be our answer. You can test yourself on this using our quick quiz:



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