Question

Solve the word problem below. Enter your answer as a fraction in simplestterms, using the slash (/) as the fraction bar.If of all books at a library are nonfiction and of the nonfiction books arebiographies, then what fraction of the library's books are nonfictionbiographies

Answer 1

it is given that

1/4 of all books are non-fiction,

also, 1/4 of non-fiction books are biographies,

so, the fraction of the library's books that are nonfiction

biographies is,

1/4 x 1/4

`(1)/(4)*(1)/(4)=(1)/(16)`

thus, the answer is 1/16