SOLUTION: please help 2x-6/21 divided by 5x-15/12 Thank you

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Question 121233: please help
2x-6/21 divided by 5x-15/12
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x-6%29%2F%2821%29%29%2F%28%285x-15%29%2F%2812%29%29 Start with the given expression

%28%282x-6%29%2F%2821%29%29%2A%28%2812%29%2F%285x-15%29%29 Multiply the first fraction by the reciprocal of the second fraction

%28%282%28x-3%29%29%2F%2821%29%29%28%2812%29%2F%285x-15%29%29 Factor 2x-6 to get 2%28x-3%29


%28%282%28x-3%29%29%2F%2821%29%29%28%2812%29%2F%285%28x-3%29%29%29 Factor 5x-15 to get 5%28x-3%29


2%28x-3%2912%2F%2821%2A5%28x-3%29%29 Combine the fractions



2cross%28%28x-3%29%2912%2F%2821%2A5cross%28%28x-3%29%29%29 Cancel like terms



%282%2A12%29%2F%2821%2A5%29 Simplify


%2824%29%2F%28105%29 Multiply



8%2F35 Reduce




So %28%282x-6%29%2F%2821%29%29%2F%28%285x-15%29%2F%2812%29%29 simplifies to 8%2F35


In other words, %28%282x-6%29%2F%2821%29%29%2F%28%285x-15%29%2F%2812%29%29=8%2F35