well uh first let's find the value of the problem, 1/2 * 2/3 * 4/5 = 4/15. Then we need to apply associative property 1/2(2/3*4/5). we do 2/3 * 4/5 first, we get 8/15. Then we multiply 8/15 by 1/2 = 4/15. We applied associative property and we still got the same results as without any properties applied.