state whether the conjecture is true or false. if false, provide a counterexample. "Division of whole numbers is associative"

Question

state whether the conjecture is true or false. if false, provide a counterexample. "Division of whole numbers is associative"

Answer 1

a/(b/c) = (a/b)/c if division is associative

a/(b/c) = a(c/b) = ac/b

(a/b)/c = (a/b)(1/c) = a/bc

ac/b does not =a/bc

division is not associative

let a= 1, b=2, c=3

then

ac/b = 3/2

a/bc = 1/6

3/2 does not = 1/6