Question

seth can read 6 3/4 books in 2 1/4 weeks how many books can seth read in one week.

A. 3 2/3
b. 1/3
c. 15 8/9
d. 3

Answer 1

(6 3/4)/(2 1/4) =
(27/4)/(9/4) =
3 books/week

Answer 2

Change the mixed numbers to improper fractions:
6 3/4 = ((4times6)+3)/4 = 27/4
2 1/4 = ((4times2)+1)/4 = 9/4

Set up a proportion:
27/4 books / 9/4 weeks = x books / 1 week
(27/4) / (9/4) = x / 1
(27/4) / (9/4) = x
(27/4) times (4/9) = x
(27times4)/(4times9) = x
3 = x

Answer: 3 books

*Of course, you could have also divided 27/4 by 9/4 from the very beginning. However, it's good to know how to solve using proportions for those times like if this problem had been anything other than 1 week.