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Debbie ran 6236\frac{2}{3} miles around the track. Each lap is 1231\frac{2}{3} miles. How many laps did Debbie run?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ laps

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Multiply and divide rational numbers: word problemsright chevron icon

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Q. Debbie ran 6236\frac{2}{3} miles around the track. Each lap is 1231\frac{2}{3} miles. How many laps did Debbie run?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ laps
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculations. Debbie ran 6236\frac{2}{3} miles, and each lap is 1231\frac{2}{3} miles. Convert these to improper fractions:\newline623=(6×3+2)/3=2036\frac{2}{3} = (6\times 3 + 2)/3 = \frac{20}{3} miles,\newline123=(1×3+2)/3=531\frac{2}{3} = (1\times 3 + 2)/3 = \frac{5}{3} miles.
  2. Calculate Number of Laps: Divide the total distance by the distance per lap to find the number of laps: \newline203÷53=(203)×(35)=205=4\frac{20}{3} \div \frac{5}{3} = \left(\frac{20}{3}\right) \times \left(\frac{3}{5}\right) = \frac{20}{5} = 4 laps.

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