Of all the homes on Gotham Street, 1/3 are termite-ridden, and 5/8 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?  Choose the most appropriate option.
A) 1 / 3
B) 1 / 4
C) 1 / 5
D) 1 / 6
E) 1 / 8

Rationale: "the fraction of homes which are termite - infested but not collapsing is 3 / 8 * 1 / 3 = 1 / 8 the answer is e ."
Answer: E