At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 70% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Choose the correct choice from the following options
A) 4 / 25  B) 8 / 29  C) 2 / 5  D) 8 / 15  E) 2 / 3

Rationale: "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 = 70 % of 60 = 42 total new books = 58 fraction = 16 / 58 = 8 / 29 ans : b"
Answer: B