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Uncle Drew scored 28 points in 5(5)/(6) minutes during a game of basketball. How many points did he average per minute during that 5(5)/(6) minutes? points per minute

Uncle Drew scored 2828 points in 556 5 \frac{5}{6} minutes during a game of basketball.\newlineHow many points did he average per minute during that 556 5 \frac{5}{6} minutes?\newlinepoints per minute

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Full solution

Q. Uncle Drew scored 2828 points in 556 5 \frac{5}{6} minutes during a game of basketball.\newlineHow many points did he average per minute during that 556 5 \frac{5}{6} minutes?\newlinepoints per minute
  1. Convert to Improper Fraction: First, we need to convert the mixed number 5(56)5\left(\frac{5}{6}\right) minutes into an improper fraction to make the calculation easier.\newline5(56)=(5×6+5)/6=(30+5)/6=3565\left(\frac{5}{6}\right) = \left(5 \times 6 + 5\right) / 6 = \left(30 + 5\right) / 6 = \frac{35}{6} minutes.
  2. Calculate Average Points: Next, we calculate the average points per minute by dividing the total points scored by the total time played in minutes.\newlineUncle Drew scored 2828 points in 356\frac{35}{6} minutes, so the average points per minute is 28(356)\frac{28}{(\frac{35}{6})}.
  3. Perform Division: To perform the division, we multiply 2828 by the reciprocal of 356\frac{35}{6}, which is 635\frac{6}{35}. So, the calculation is 28×(635)28 \times \left(\frac{6}{35}\right).
  4. Multiply and Divide: Now, we multiply 2828 by 66, which equals 168168. Then, we divide 168168 by 3535 to get the average points per minute. 168/35=4.8168 / 35 = 4.8

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