SOLUTION: How do you simplify complex fractions 2/5-2/9-1/3 divided by 1/3+1/5+2/15 ?

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Question 316460: How do you simplify complex fractions
2/5-2/9-1/3 divided by 1/3+1/5+2/15 ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find a common denominator for the numerator (top) and denominator (bottom) of your fraction and simplify both expressions.
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Common denominator for the top: 45.
2%2F5-2%2F9-1%2F3=%282%2F5%29%289%2F9%29-%282%2F9%29%285%2F5%29-%281%2F3%29%2815%2F15%29
2%2F5-2%2F9-1%2F3=%2818-10-15%29%2F45
2%2F5-2%2F9-1%2F3=-7%2F45
Common denominator for the bottom: 15
1%2F3%2B1%2F5%2B2%2F15+=%281%2F3%29%285%2F5%29%2B%281%2F5%29%283%2F3%29%2B2%2F15
1%2F3%2B1%2F5%2B2%2F15+=%285%2B3%2B2%29%2F15
1%2F3%2B1%2F5%2B2%2F15+=10%2F15=2%2F3
Now that you've simplified the top and bottom, you can divide.
Dividing by a fraction is the same as multiplying by its reciprocal.
%282%2F5-2%2F9-1%2F3%29%2F%281%2F3%2B1%2F5%2B2%2F15+%29=%28-7%2F45%29%2A%283%2F2%29
%282%2F5-2%2F9-1%2F3%29%2F%281%2F3%2B1%2F5%2B2%2F15+%29=-7%2F30