SOLUTION: Subtract. Simplify, if possible. 5-w/w-9 - 9w-7/9-w

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Question 125727: Subtract. Simplify, if possible.
5-w/w-9 - 9w-7/9-w

Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


In order to perform this addition, you first need to find a common denominator. Notice that -(a-b) = (b-a) for all a and b, so we can rewrite the expression:



And the common denominator becomes



Now combine the numerators:



Distribute and remove parentheses:



Collect terms:



You could factor a 2 out of the numerator and make it , but there is little value in that. I would just leave it at

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor out a negative 1 from to get

Subtract the negative to add.


Combine the fractions


Combine like terms.



So simplifies to . In other words,

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