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William is making pies with the fresh peaches he picked at Butterscotch Orchard. He prepares the peaches by chopping them into small pieces. William has a total of 1781\frac{7}{8} pounds of peaches for his pies. He makes 33 pies, each with the same amount of peaches. How many pounds of peaches are in each pie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ pounds

Full solution

Q. William is making pies with the fresh peaches he picked at Butterscotch Orchard. He prepares the peaches by chopping them into small pieces. William has a total of 1781\frac{7}{8} pounds of peaches for his pies. He makes 33 pies, each with the same amount of peaches. How many pounds of peaches are in each pie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ pounds
  1. Convert to Improper Fraction: Convert the mixed number to an improper fraction for easier calculation. 178=(1×8+7)/8=1581 \frac{7}{8} = (1\times8 + 7)/8 = \frac{15}{8}.
  2. Calculate Amount per Pie: Divide the total amount of peaches by the number of pies to find the amount per pie. 158÷3=158×13=1524.\frac{15}{8} \div 3 = \frac{15}{8} \times \frac{1}{3} = \frac{15}{24}.
  3. Simplify Fraction: Simplify the fraction 1524\frac{15}{24} by finding the greatest common divisor, which is 33. 1524=58\frac{15}{24} = \frac{5}{8}.

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