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Ellen makes cookies and sells them at the local farmers' market. Today, she is going to make batches of her famous cardamom cookies. She has a jar with 22 fluid ounces of cardamom, and her recipe calls for 1 4/51\ 4/5 tablespoons, or 3/103/10 of a fluid ounce, of cardamom in each batch. How many batches can Ellen make with all of her cardamom? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ batches

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Q. Ellen makes cookies and sells them at the local farmers' market. Today, she is going to make batches of her famous cardamom cookies. She has a jar with 22 fluid ounces of cardamom, and her recipe calls for 1 4/51\ 4/5 tablespoons, or 3/103/10 of a fluid ounce, of cardamom in each batch. How many batches can Ellen make with all of her cardamom? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ batches
  1. Calculate Cardamom Amount: First, let's figure out how much cardamom Ellen uses for each batch. The recipe says 1451\frac{4}{5} tablespoons, which is also given as 310\frac{3}{10} of a fluid ounce.
  2. Determine Batches Possible: Next, we need to know how many batches she can make with the 22 fluid ounces of cardamom she has. We do this by dividing the total amount of cardamom by the amount used per batch: 2÷(310)2 \div \left(\frac{3}{10}\right).
  3. Divide Total by Amount: To divide by a fraction, we multiply by its reciprocal. So, 2÷(310)=2×(103)=2032 \div \left(\frac{3}{10}\right) = 2 \times \left(\frac{10}{3}\right) = \frac{20}{3}.
  4. Simplify Fraction: Simplify 203\frac{20}{3} to get 6236\frac{2}{3}. So, Ellen can make 6236\frac{2}{3} batches of cookies.

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