The associative property of multiplication states that:
[tex](a\cdot b)\cdot c=a\cdot(b\cdot c)[/tex]In this case we have to solve:
[tex]8(\frac{1}{2}\cdot\frac{1}{3})_{}[/tex]We can associate the 8 with 1/2 to make it easier to evaluate:
[tex]8(\frac{1}{2}\cdot\frac{1}{3})=(8\cdot\frac{1}{2})\cdot\frac{1}{3}=4\cdot\frac{1}{3}=\frac{4}{3}[/tex]This is the expression proposed in Option A.
Answer: Option A.
