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Uncle Drew scored 2828 points in 5565 \frac{5}{6} minutes during a game of basketball. How many points did he average per minute during that 5565 \frac{5}{6} minutes?

Full solution

Q. Uncle Drew scored 2828 points in 5565 \frac{5}{6} minutes during a game of basketball. How many points did he average per minute during that 5565 \frac{5}{6} minutes?
  1. Convert to Improper Fraction: Convert the mixed number 5565 \frac{5}{6} minutes to an improper fraction for easier calculation. \newline556=(5×6+5)/6=3565 \frac{5}{6} = (5 \times 6 + 5) / 6 = \frac{35}{6} minutes.
  2. Calculate Average Points: Next, divide the total points scored by the total minutes played to find the average points per minute.\newlineAverage points per minute = 28 points356 minutes\frac{28 \text{ points}}{\frac{35}{6} \text{ minutes}}.
  3. Perform Division: Perform the division by multiplying by the reciprocal of the divisor.\newline28÷(356)=28×(635)=16835=4.828 \div \left(\frac{35}{6}\right) = 28 \times \left(\frac{6}{35}\right) = \frac{168}{35} = 4.8 points per minute.