SOLUTION: Help! 2/x+3/y divided by 3/x-2/y seems simple but I can't figure it out. I would think that you would simplify the the numerator by multiplying it by the LCD xy then the same fo

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Help! 2/x+3/y divided by 3/x-2/y seems simple but I can't figure it out. I would think that you would simplify the the numerator by multiplying it by the LCD xy then the same fo      Log On


   

Question 243593: Help!
2/x+3/y divided by 3/x-2/y seems simple but I can't figure it out. I would think that you would simplify the the numerator by multiplying it by the LCD xy then the same for the denominator but it doesnt work out.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Fx+%2B+3%2Fy+=+%282y+%2B+3x%29%2Fxy
.
3%2Fx+-+2%2Fy+=+%283y+-+2x%29%2Fxy
.
The division can be replaced by multiplication by the inverse.
So instead of:
+%28+%282y+%2B+3x%29+%2F+xy+%29+%2F+%28+%283y+-+2x%29+%2F+xy+%29+
.
we can substitute:
.
+%28+%282y+%2B+3x%29+%2F+xy+%29+%2A+%28+xy+%2F+%283y+-+2x%29+%29+
.
The 'xy' terms will cancel, so we have:
.
+%282y+%2B+3x%29+%2F+%283y+-+2x%29+