Question

If a bookshelf is 28 1/8 inches long,how many 1 7/8 inch thick books will it hold?

Answer 1

I believe the correct answer is 15, because 15/8 x 15/1= 225/8 and when you simplify that you get 28 with 1/8 left over.

Answer 2

Answer: Bookshelf can hold 15 books.

Step-by-step explanation:

Given : The length of the book shelf = $28\dfrac{1}{8}$ inches

In improper fraction ,  $28\dfrac{1}{8}=\dfrac{8(28)+1}{8}=\dfrac{225}{8}$

i.e. Length of the book shelf = $\dfrac{225}{8}$ inches

Similarly, Thickness of a book = $1\dfrac{7}{8}=\dfrac{8(1)+7}{8}=\dfrac{15}{8}$ inches

Now, the number of books the shelf can hold =  Length of the bookshelf ÷Thickness of a book

$=\dfrac{225}{8}\div\dfrac{15}{8}\\\\=\dfrac{225}{8}\times\dfrac{8}{15} \\\\=\dfrac{225}{15}=15$

Hence, the bookshelf can hold 15 books.