SOLUTION: Hi, Thank you for helping me, as I can not learn under my algebra 2 teacher. Please simplify the complex fraction: 2/x + 3/xy ---------- 3/x^2 + 1/5

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hi, Thank you for helping me, as I can not learn under my algebra 2 teacher. Please simplify the complex fraction: 2/x + 3/xy ---------- 3/x^2 + 1/5       Log On


   



Question 691801: Hi,
Thank you for helping me, as I can not learn under my algebra 2 teacher.
Please simplify the complex fraction:
2/x + 3/xy
----------
3/x^2 + 1/5

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The LCD of the fractions 2/x, 3/xy, 3/x^2 and 1/5 is 5x^2y

Multiply this LCD with EVERY fraction listed above

(2/x)*(5x^2y) = 10x^2y/x = 10xy

(3/xy)*(5x^2y) = 15x^2y/xy = 15x

(3/x^2)*(5x^2y) = 15x^2y/x^2 = 15y

(1/5)*(5x^2y) = 5x^2y/5 = x^2y

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So after all that above, we go from this ugly expression

2/x + 3/xy
----------
3/x^2 + 1/5 


to this nicer looking expression

10xy + 15x
-----------
15y + x^2y


and that's as simple as it gets because you can't cancel out any more terms.