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.
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
1 answer