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

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.