how do I simplify this question?
((1/xy)-1)/((1/x^2)-(y/x))
the answer is x/y, but i would like to know the steps of solving this problem.

Question

seratul · Answer

If you are to rewrite it at first, you should get $$\frac{ y/x-1 }{ 1/x ^{2}-y/x }$$
This is simply by multiplying by 1 and removing the parenthesis.

seratul · Answer

I don't really know how I can write this all using the equation tap on here, but you should eventually get 
$$\frac{ -x^2+xy }{-xy +1 }$$

bluefire113 · Answer

can you explain why y/x got changed into y/x

bluefire113 · Answer

sorry i mean how did 1/xy get changed into y/x

seratul · Answer

It can be rewritten as y *1 /x which is y/x

bluefire113 · Answer

would this be correct: (y/x-1) * (x^2-x/y)

jhonyy9 · Answer

1
--- -1 = (1-xy)/xy
xy

 
 1          y          1 - xy
---- - ---- = ----------
 x^2      x              x^2 


 1 -xy
-------
   xy                  1 -xy              x^2           x
----------- = -------- * --------- = ----
   1 -xy                xy             1 -xy             y
----------
     x^2 

hope helped

bluefire113 · Answer

Thanks!

jhonyy9 · Answer

np

welcome 

was my pleasure 

do you understand the way how you get the right answer ?

bluefire113 · Answer

Yes thanks!

jhonyy9 · Answer

ok

good luck 

and hope i can help you anytime just tag me than i m here online 

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