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Of the cakes at Alexandra's Bakery, $\frac{1}{3}$ have chocolate frosting. Of the cakes with chocolate frosting, $\frac{3}{5}$ have raspberry filling. What fraction of the cakes at Alexandra's Bakery have both chocolate frosting and raspberry filling?$\newline$Write your answer as a fraction or as a whole or mixed number.$\newline$$\_$ of the cakes