Use the associative property to rewrite the expression, and then simplify the result. $\frac{2}{5}\left(\frac{5}{2} y\right)$
A) $2 y$
B) 1
C) $\frac{1}{2} y$
D) $\frac{1}{5} y$
E) $y$

Question

Quizplus · Accepted Answer

By the associative property, we can group the $\frac{2}{5}$ with $\frac{5}{2}$ to get $\frac{2}{5}\cdot\frac{5}{2}y=\frac{2\cdot 5}{5\cdot 2}y=\frac{1}{2}y$. Therefore, the answer is (E) $y$.

Use the Associative Property to Rewrite the Expression, and Then 25(52y)\frac{2}{5}\left(\frac{5}{2} y\right)52​(25​y)

Use the Associative Property to Rewrite the Expression, and Then $\frac{2}{5}\left(\frac{5}{2} y\right)$