At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 20% of the other books are new releases. What fraction of all new releases are the historical fiction new releases? Options.
A) 4/25  B) 8/23  C) 2/5  D) 8/14  E) 2/3
let there be 100 books in all   Historic fiction books = 40% of total = 40   Other books = 60   New historic fiction = 40% of 40 = 16   Other new books = 20% of 60 = 12   total new books = 28   fraction = 16/28 = 8/14   Ans: 8/14
<result>D</result>
At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 20% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?