SOLUTION: w-4/3w ÷ 2w-8/9w

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Question 149318: w-4/3w ÷ 2w-8/9w
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28w-4%29%2F%283w%29%29%2F%28%282w-8%29%2F%289w%29%29 Start with the given expression.


%28%28w-4%29%2F%283w%29%29%28%289w%29%2F%282w-8%29%29 Multiply the first fraction %28w-4%29%2F%283w%29 by the reciprocal of the second fraction %282w-8%29%2F%289w%29.


%28%28w-4%29%2F%283w%29%29%28%283%2A3%2Aw%29%2F%282w-8%29%29 Factor 9w to get 3%2A3%2Aw.


%28%28w-4%29%2F%283w%29%29%28%283%2A3%2Aw%29%2F%282%28w-4%29%29%29 Factor 2w-8 to get 2%28w-4%29.


%28%28w-4%29%283%2A3%2Aw%29%29%2F%282%283w%29%28w-4%29%29 Combine the fractions.


Highlight the common terms.


%28cross%28%28w-4%29%29%283%2Across%283w%29%29%29%2F%282cross%283w%29cross%28%28w-4%29%29%29 Cancel out the common terms.


%283%29%2F%282%29 Simplify.


So %28%28w-4%29%2F%283w%29%29%2F%28%282w-8%29%2F%289w%29%29 simplifies to %283%29%2F%282%29.