Explanation:
To determine how many cars Berry detailed, we start by converting the mixed number 6 1/2 into an improper fraction, which is 13/2.
Next, we divide the total number of hours Berry worked (52 hours) by the time it takes him to detail one car (13/2 hours per car). This division can be expressed as 52 hours × 2/13 hours per car.
Simplifying the expression, 52 × 2/13 equals 104/13.
Therefore, Berry detailed 104/13 cars during the week.
To represent this as a mixed number, we divide the numerator (104) by the denominator (13), resulting in 8.
Hence, Berry detailed 8 cars during the week.