Question 316460
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.
{{{2/5-2/9-1/3=(2/5)(9/9)-(2/9)(5/5)-(1/3)(15/15)}}}
{{{2/5-2/9-1/3=(18-10-15)/45}}}
{{{2/5-2/9-1/3=-7/45}}}
Common denominator for the bottom: 15
{{{1/3+1/5+2/15 =(1/3)(5/5)+(1/5)(3/3)+2/15}}}
{{{1/3+1/5+2/15 =(5+3+2)/15}}}
{{{1/3+1/5+2/15 =10/15=2/3}}}
Now that you've simplified the top and bottom, you can divide.
Dividing by a fraction is the same as multiplying by its reciprocal.

{{{(2/5-2/9-1/3)/(1/3+1/5+2/15 )=(-7/45)*(3/2)}}}
{{{(2/5-2/9-1/3)/(1/3+1/5+2/15 )=-7/30}}}