SOLUTION: ((a/(x+y))+(m/y))/(x/(a+m))

Question 151383: ((a/(x+y))+(m/y))/(x/(a+m))
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Multiply every term by the LCD to clear the inner denominators.

Simplify

Rearrange the terms.

FOIL

Distribute

Combine like terms.

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Answer:

So simplifies to

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
((a/(x+y))+(m/y))/(x/(a+m))
----------------------------
Simplifying the numerator:
((a/(x+y))+(m/y))
lcd = y(x+y)
(ay + m(x+y)/y(x+y)
((a+m)y + mx)/(y(x+y))
------------------------
Inverts the denominator and multiply:
((a+m)y + mx)/(y(x+y)) * (a+m)/x
= [(a+m)^2 y + mx(a+m)] / [xy(x+y)]
--------------
That doesn't look any better than the original expression but
it does have one numerator and one denominator.
==============
Cheers,
Stan H.
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