Answer: Bookshelf can hold 15 books.
Step-by-step explanation:
Given : The length of the book shelf = [tex]28\dfrac{1}{8}[/tex] inches
In improper fraction , [tex]28\dfrac{1}{8}=\dfrac{8(28)+1}{8}=\dfrac{225}{8}[/tex]
i.e. Length of the book shelf = [tex]\dfrac{225}{8}[/tex] inches
Similarly, Thickness of a book = [tex]1\dfrac{7}{8}=\dfrac{8(1)+7}{8}=\dfrac{15}{8}[/tex] inches
Now, the number of books the shelf can hold = Length of the bookshelf ÷Thickness of a book
[tex]=\dfrac{225}{8}\div\dfrac{15}{8}\\\\=\dfrac{225}{8}\times\dfrac{8}{15} \\\\=\dfrac{225}{15}=15[/tex]
Hence, the bookshelf can hold 15 books.
