SOLUTION: simplify the compound fraction and show work: 1/(x+1) +1/2 over 3/(2x^2 +4x +2)

Question 811685: simplify the compound fraction and show work:
1/(x+1) +1/2
over
3/(2x^2 +4x +2)
Found 2 solutions by brysca, MathTherapy:
Answer by brysca(112) (Show Source): You can put this solution on YOUR website!
I gave it a shot. It looks right and I'm pretty sure it's right but I'm sorry if it's not.
First, combine the 1 and the .5 in the denominator
x+1+.5
=x+1.5
So the question translates to this:
1/(x+1.5) divided by 3/(2x^2 +4x +2)
So whenever you divide by a fraction, you multiply by its inverse instead so it looks like this:
1/(x+1.5) * (2x^2 +4x +2)/3
(2x^2 +4x +2) simplifies to (x+1)(2x+2) so you rewrite it like this
1/(x+1.5) * (x+1)(2x+2)/3
You should get something like this when multiplied:
(x+1)(2x+2)/(3x+4.5)
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
simplify the compound fraction and show work:
1/(x+1) +1/2
over
3/(2x^2 +4x +2)

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