SOLUTION: simplify the complex fraction 16y/x - x/y / -4/x + 1/y

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Question 335812: simplify the complex fraction
16y/x - x/y / -4/x + 1/y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Let's simplify each part first,
%28%2816y%29%2Fx+-+x%2Fy%29=%28%28xy%29%2F%28xy%29%29%2A%28%2816y%29%2Fx+-+x%2Fy%29
%28%2816y%29%2Fx+-+x%2Fy%29=%2816y%5E2+-+x%5E2%29%2F%28xy%29
.
.
.
%28-4%2Fx+%2B+1%2Fy%29=%28%28xy%29%2F%28xy%29%29%2A%28-4%2Fx+%2B+1%2Fy%29
%28-4%2Fx+%2B+1%2Fy%29=%28-4y+%2B+x%29%2F%28xy%29
.
.
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Dividing by a fraction is equivalent to multiplying by its reciprocal,





%28%2816y%29%2Fx+-+x%2Fy%29%2F%28-4%2Fx+%2B+1%2Fy%29=-%284y%2Bx%29