Arturo read 22 1/2 pages in 2/3 of an hour. At what rate, in pages per hour, did he read?
answer in mixed number
To find the rate at which Arturo read, we need to divide the number of pages he read by the amount of time it took.
Number of pages read: 22 1/2
Amount of time: 2/3 hour
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction.
22 1/2 can be written as 45/2.
Rate = (Number of pages read) / (Amount of time)
Rate = (45/2) / (2/3)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Rate = (45/2) * (3/2)
Multiplying the numerators and denominators:
Rate = (45 * 3) / (2 * 2)
Rate = 135 / 4
In mixed number form, the rate is 33 3/4 pages per hour.