SOLUTION: Did I correctly simplify the below problem? If not, please show where I have not done it correctly, and show the correct simplified solution to the problem. 1/a+b + 5/

Algebra ->  Equations -> SOLUTION: Did I correctly simplify the below problem? If not, please show where I have not done it correctly, and show the correct simplified solution to the problem. 1/a+b + 5/      Log On


   

Question 1169455: Did I correctly simplify the below problem?
If not, please show where I have not done it correctly, and show the correct simplified solution to the problem.
1/a+b
+
5/2(a+b)
=

7a+7b/
2a2+4ab+2b2
Thank you
Found 2 solutions by Edwin McCravy, Theo:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
No, here's the correct way:

1%2F%28a%2Bb%29%2B5%2F%282%28a%2Bb%29%29

Get LCD by multiplying numerator and denominator of the first fraction by 2.

2%2A1%2F2%28a%2Bb%29%2B5%2F%282%28a%2Bb%29%29

2%2F2%28a%2Bb%29%2B5%2F%282%28a%2Bb%29%29

7%2F2%28a%2Bb%29

Edwin

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
see my worksheet.



you needed to put everything under a common denominator.

you do that by multiplying 1/(a+b) by 2/2 to get 2/(2*(a+b))

once you do that, you just add the numerators together under the common denominator of 2*(a+b).