SOLUTION: 2x+4y/x ___________ y/3x^2+1/6

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Question 85448: 2x+4y/x
___________
y/3x^2+1/6
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%29+%2B+%284y%29%2Fx
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y%2F%283x%5E2%29+%2B+%281%2F6%29
:
Put each on a common denominator
%282x%5E2+%2B+4y%29%2Fx
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%286y+%2B+3x%5E2%29%2F%2818x%5E2%29
:
Invert the dividing fraction and multiply
%282x%5E2+%2B+4y%29%2Fx * %2818x%5E2%29%2F%286y+%2B+3x%5E2%29 = %282%28x%5E2+%2B+2y%29%29%2Fx * %2818x%5E2%29%2F%283%28x%5E2+%2B+2y%29%29 = 2 * 6x = 12x
:
Note you can cancel:
1.(x^2 + 2y) into 2(x^2 + 2y) = 2
2. x into 18x^2 = 18x
3. 3 into 18x = 6x