SOLUTION: I need Help with doing this fraction problem. -5x/2y (Times) 6xy/7y (divied) by 4xy/3y

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Question 163880: I need Help with doing this fraction problem.
-5x/2y (Times) 6xy/7y (divied) by 4xy/3y


Answer by kennedysj(5) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-5x%2F2y%29%2A%286xy%2F7y%29%29%2F%284xy%2F3y%29
Start by multiplying by the reciprocal of %284xy%2F3y%29
%28-5x%2F2y%29%2A%286xy%2F7y%29%2A%283y%2F4xy%29
Simplify as much as possible before multiplying
6xy%2F7y+=+6x%2F7 and 3y%2F4xy+=+3%2F4x
Now write the fraction as one
%28-5x%2A6x%2A3%29%2F%282y%2A7%2A4x%29
an x in the numerator will cancel with an x in the denominator to get
%28-5%2A6%2Ax%2A3%29%2F%282%2Ay%2A7%2A4%29
rearrange the multiplication
%28-5%2A6%2A3%2Ax%29%2F%287%2A2%2A4%2Ay%29
The six is divisible by the two so we end up with
%28-5%2A3%2A3%2Ax%29%2F%287%2A4%2Ay%29
There are no other possible divisions so we multiply the numbers to get
%28-45x%29%2F%2828y%29
and we are done