SOLUTION: How do you add and subtract rational expressions?

Question 397742: How do you add and subtract rational expressions?

Answer by darleneporter(1) (Show Source): You can put this solution on YOUR website!
to add rational expressions, you have to first combine the numerators, then find the common denominator, and finally reduce to lowest terms.
example: 8x/5x-2 + 2x-5/5x-2
In this problem, the denominators are the same, so, just combine the numerators.
8x+2x-5/5x-2
finally, you add the like variables, 8x+2x=10x, which leaves you with the answer of
10x-5/5x-2.

Now, to subtract rational expressions,you would folow the same steps. Same example, but instead of using the addition(+) symbol, we are going to use the minus(-) symbol.
example: 8x/5x-2 - 2x-5/5x-2
since the denominators are the same, 5x-2, we are going to combine numerators, 8x-2x-5,
this will leave you with, 6x-5.
your answer would be 6x-5/5x-2.
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