SOLUTION: 6w 14wy __ / _____ 5y 15y 6w over 5y divided by 14 wy over 15y

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Question 149516: 6w 14wy
__ / _____
5y 15y
6w over 5y divided by 14 wy over 15y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286w%29%2F%285y%29%29%2F%28%2814wy%29%2F%2815y%29%29 Start with the given expression.


%28%286w%29%2F%285y%29%29%2A%28%2815y%29%2F%2814wy%29%29 Multiply the first fraction by the reciprocal of the second fraction.


%28%286w%29%2815y%29%29%2F%28%285y%29%2814wy%29%29 Combine the fractions.


%2890wy%29%2F%2870wy%5E2%29 Multiply.


%282%2A3%2A3%2A5%2Aw%2Ay%29%2F%282%2A5%2A7%2Aw%2Ay%2Ay%29 Expand. Remember, 90wy=2%2A3%2A3%2A5%2Aw%2Ay and 70wy%5E2=2%2A5%2A7%2Aw%2Ay%2Ay


Highlight the common terms.


Cancel out the common terms.


%283%2A3%29%2F%287%2Ay%29 Simplify.


%289%29%2F%287y%29 Regroup and multiply.


So %28%286w%29%2F%285y%29%29%2F%28%2814wy%29%2F%2815y%29%29 simplifies to %289%29%2F%287y%29.