Of all the homes on Gotham Street, 1/3 are termite-ridden, and 4/7 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing? Choose the correct choice from the following answers: A) 1 / 3 B) 1 / 4 C) 1 / 5 D) 1 / 6 E) 1 / 7

Rationale: "the fraction of homes which are termite - infested but not collapsing is 3 / 7 * 1 / 3 = 1 / 7 the answer is e ."
Answer: E