SOLUTION: 5y/(5y+15)(divided by) 15y/(y+3)

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Question 196958: 5y/(5y+15)(divided by) 15y/(y+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%285y%29%2F%285y%2B15%29%29%2F%28%2815y%29%2F%28y%2B3%29%29 Start with the given expression.


%28%285y%29%2F%285y%2B15%29%29%28%28y%2B3%29%2F%2815y%29%29 Multiply the first fraction %285y%29%2F%285y%2B15%29 by the reciprocal of the second fraction %2815y%29%2F%28y%2B3%29.


%28%285y%29%2F%285%28y%2B3%29%29%29%28%28y%2B3%29%2F%2815y%29%29 Factor 5y%2B15 to get 5%28y%2B3%29.


%28%285y%29%2F%285%28y%2B3%29%29%29%28%28%28y%2B3%29%29%2F%283%2A5y%29%29 Factor 15y to get 3%2A5y.


%285y%28y%2B3%29%29%2F%285%2A3%2A5y%28y%2B3%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


1%2F%285%2A3%29 Simplify.


1%2F15 Multiply


So %28%285y%29%2F%285y%2B15%29%29%2F%28%2815y%29%2F%28y%2B3%29%29 simplifies to 1%2F15.


In other words, %28%285y%29%2F%285y%2B15%29%29%2F%28%2815y%29%2F%28y%2B3%29%29=1%2F15 where y%3C%3E-3 or y%3C%3E0