Of all the homes on Gotham Street, 1/3 are termite-ridden, and 1/4 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) 2 / 5 C) 1 / 4 D) 1 / 6 E) 3 / 4

Rationale: "the fraction of homes which are termite - infested but not collapsing is 3 / 4 * 1 / 3 = 1 / 4 the answer is c ."
Answer: C