Karl has 11 cups of sugar, and he wants to make 2 batches of his famous triple chocolate cookies, and 1 batch of sugar cookies. Each batch of triple chocolate cookies takes $2/frac{1}{3}$ cups of sugar, and each batch of sugar cookies takes $3/frac{2}{5}$ cups of sugar. After Karl makes his cookies, how many cups of sugar will he have left? Express your answer as a mixed number.
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