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Harbor School's Spring Sprinter is tomorrow, and Ben will be setting up water stations along the race course. The race will be broken into 66 sprints that are all the same length, and he plans to set up a water station at the end of each sprint. The race will be a total of 2252\frac{2}{5} miles long. How long will each sprint be? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ miles

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Q. Harbor School's Spring Sprinter is tomorrow, and Ben will be setting up water stations along the race course. The race will be broken into 66 sprints that are all the same length, and he plans to set up a water station at the end of each sprint. The race will be a total of 2252\frac{2}{5} miles long. How long will each sprint be? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number. \newline____ miles
  1. Convert to Improper Fraction: Convert the total miles from mixed number to improper fraction. 225=(2×5+2)/5=1252 \frac{2}{5} = (2\times5 + 2)/5 = \frac{12}{5}
  2. Divide Total Miles: Divide the total miles by the number of sprints. Each sprint length = 125÷6=125×16=1230=25\frac{12}{5} \div 6 = \frac{12}{5} \times \frac{1}{6} = \frac{12}{30} = \frac{2}{5}
  3. Simplify Fraction: Simplify the fraction for the length of each sprint. 25\frac{2}{5} is already in its simplest form, so each sprint is 25\frac{2}{5} miles long

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