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Eve has volunteered to make lasagna for Amity Community Kitchen, a local meal center in her city. After she makes the lasagna layers, she has 2582\frac{5}{8} pounds of shredded cheese left to sprinkle on top. Eve wants to sprinkle the same amount of cheese on top of each of the 33 trays of lasagna that she made. How much cheese should Eve put on each tray of lasagna? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ pounds

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Q. Eve has volunteered to make lasagna for Amity Community Kitchen, a local meal center in her city. After she makes the lasagna layers, she has 2582\frac{5}{8} pounds of shredded cheese left to sprinkle on top. Eve wants to sprinkle the same amount of cheese on top of each of the 33 trays of lasagna that she made. How much cheese should Eve put on each tray of lasagna? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ pounds
  1. Calculate Total Cheese: First, let's figure out how much cheese Eve has in total and how many trays she needs to divide it among. She has 2582\frac{5}{8} pounds of cheese and 33 trays of lasagna.
  2. Convert to Improper Fraction: Convert the mixed number 2582 \frac{5}{8} to an improper fraction for easier division. 258=(2×8+5)/8=2182 \frac{5}{8} = (2 \times 8 + 5)/8 = \frac{21}{8} pounds of cheese.
  3. Divide Cheese Among Trays: Now, divide the total amount of cheese by the number of trays to find out how much cheese goes on each tray. 218÷3=218×13=2124\frac{21}{8} \div 3 = \frac{21}{8} \times \frac{1}{3} = \frac{21}{24} pounds of cheese per tray.
  4. Simplify Fraction: Simplify the fraction 2124\frac{21}{24} to its lowest terms. The greatest common divisor of 2121 and 2424 is 33. So, 2124=(21÷324÷3)=78.\frac{21}{24} = \left(\frac{21 \div 3}{24 \div 3}\right) = \frac{7}{8}.

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