Matthew read 26 1/4 pages 1 2/3 hours. If he continues reading at the same rate, how many pages will he read in an hour?
answer in mixed number
To find out how many pages Matthew will read in an hour, we need to divide the total number of pages he read (26 1/4) by the total number of hours he spent reading (1 2/3).
First, let's convert the mixed numbers to improper fractions.
26 1/4 = 105/4
1 2/3 = 5/3
Now, divide the numerator of the fraction representing the number of pages he read by the denominator of the fraction representing the number of hours he spent reading:
(105/4) ÷ (5/3) = (105/4) x (3/5) = (105 x 3) / (4 x 5) = 315/20
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
(315/20) ÷ 5 = (315 ÷ 5) / (20 ÷ 5) = 63/4
So, Matthew will read 63/4 pages in an hour.
In mixed number form, this is equal to 15 3/4 pages.