Question 419597: add or sutract. simplify as much as possible
2a + 8/a +17minus a-9/a+17
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "add or sutract. simplify as much as possible
2a + 8/a +17 minus a-9/a+17"
When adding and subtracting fractions, you need a common denominator.
In this one, you already have the common denominator,
so just combine the numerators and put over the common denominator
(2a + 8)/(a + 17) - (a - 9)/(a + 17)
(2a + 8) - (a - 9)
------------------
a + 17
2a + 8 - a + 9
--------------- {took out parentheses in numerator}
a + 17
a + 17
------- {combined like terms in numerator}
a + 17
= 1 {cancelled}
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