SOLUTION: How do you DIVIDE this rational expression: 6-3x/5(division sign)4x-8/25? Whats the answer?

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Question 152478: How do you DIVIDE this rational expression: 6-3x/5(division sign)4x-8/25? Whats the answer?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuminng you mean like this,
%28%286-3x%29%2F5%29%2F%28%284x-8%29%2F25%29
Dividing by a fraction is like multiplying by the reciprocal of the fraction.
So
%28A%2FB%29%2F%28C%2FD%29=%28A%2FB%29%2A%28D%2FC%29
So in your case,
%28%286-3x%29%2F5%29%2F%28%284x-8%29%2F25%29=%28%286-3x%29%2F5%29%2A%2825%2F%284x-8%29%29

%28%286-3x%29%2F5%29%2F%28%284x-8%29%2F25%29=%283%282-x%29%29%2A%285%2F%284%28x-2%29%29%29
%28%286-3x%29%2F5%29%2F%28%284x-8%29%2F25%29=%28-3%28x-2%29%29%2A%285%2F%284%28x-2%29%29%29

%28%286-3x%29%2F5%29%2F%28%284x-8%29%2F25%29=%28-3%29%2A%285%2F4%29
%28%286-3x%29%2F5%29%2F%28%284x-8%29%2F25%29=-15%2F4