Answer: [tex]9 \frac{1}{16}[/tex] books.
Step-by-step explanation:
First, let's turn both mixed numbers into fractions:
[tex]1\frac{3}{5}=\frac{(1*5)+3}{5} =\frac{5+3}{5}=\frac{8}{5} \\\\14\frac{1}{2}=\frac{(14*2)+1}{2}=\frac{28+1}{2}=\frac{29}{2}[/tex]
Then, to find how many books can fit into the bookshelf, you simply divide the space in the bookshelf by the thickness of each book:
[tex]\frac{\frac{29}{2} }{\frac{8}{5} }=\frac{5*29}{8*2} =\frac{145}{16}[/tex]
If you want the answer as a mixed number:
[tex]\frac{145}{16} =9\frac{1}{16}[/tex]
