SOLUTION: Simplify {{{((3z-24)/(25))/((z-8)/(10z))}}}

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Question 132140: Simplify %28%283z-24%29%2F%2825%29%29%2F%28%28z-8%29%2F%2810z%29%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283z-24%29%2F%2825%29%29%2F%28%28z-8%29%2F%2810z%29%29 Start with the given expression

%28%283z-24%29%2F%2825%29%29%2A%28%2810z%29%2F%28z-8%29%29 Multiply the first fraction by the reciprocal of the second fraction


%28%283%28z-8%29%29%2F%2825%29%29%28%2810z%29%2F%28z-8%29%29 Factor 3z-24 to get 3%28z-8%29


%283%28z-8%2910z%29%2F%2825%28z-8%29%29 Combine the fractions


%283cross%28%28z-8%29%2910z%29%2F25cross%28%28z-8%29%29 Cancel like terms


%2830z%29%2F25 Multiply

6z%2F5 Reduce


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Answer:


So %28%283z-24%29%2F%2825%29%29%2F%28%28z-8%29%2F%2810z%29%29 simplifies to 6z%2F5