Let's begin by listing out the information given to us:
books (b)
cookbook (c) = 1/6 of books = 1/6 * b
vegetarian cookbooks (vc) = 2/5 of cookbooks = 2/5 * c
The books in the library that are vegetarian cookbook is given by the product of cookbook and vegetarian cookbooks:
[tex]\begin{gathered} =\frac{1}{6}\cdot\frac{2}{5}=\frac{1\cdot2}{6\cdot5}=\frac{2}{30}=\frac{1}{15} \\ =\frac{1}{15} \\ \\ \therefore The\text{ fraction of vegetarian books in the library is }\frac{1}{15} \end{gathered}[/tex]
In the problem below you are trying to figure out what fraction of the books are vegetarian cookbooks
Hence, option b is the correct answer
