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Erica is baking blueberry pies to sell at her bakery. She starts with $3$ cartons of blueberries, of which she uses $\frac{2}{3}$ for the first batch of pies. How many cartons of blueberries does Erica use for the first batch of pies?$\newline$Write your answer as a fraction or as a whole or mixed number.$\newline$_____ cartons