An expression that can be placed in the box to make the equation $\frac{3 \times 6 \times 9}{3}=\frac{\square}{2}$ true is
(A) $2 \times 4 \times 6$
(B) $3 \times 4 \times 6$
(C) $2 \times 6 \times 9$
(D) $2 \times 4 \times 8$
(E) $2 \times 12 \times 18$
Solution 1

On the left hand side of the equation, if the 3's are cancelled, we would have

$\frac{3 \times 6 \times 9}{3}=6 \times 9=\frac{\square}{2}$

Therefore, the expression in the box should be $2 \times 6 \times 9$, since we can write $6 \times 9=\frac{2 \times 6 \times 9}{2}$.

Solution 2

Evaluating the left side of the expression, we obtain $\frac{3 \times 6 \times 9}{3}=54$.

Therefore, we must place an expression equal to $54 \times 2=108$ in the box to make the equation true. Evaluating the five choices, we obtain
(A) 48
(B) 72
(C) 108
(D) 64
(E) 432

Therefore, the answer must be $2 \times 6 \times 9$.

ANSWER: (C)