The product $\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)$ is equal to
(A) $\frac{2}{5}$
(B) $\frac{1}{60}$
(C) 1
(D) 3
(E) $\frac{59}{60}$
Simplifying, $\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)=\left(\frac{2}{3}\right)\left(\frac{3}{4}\right)\left(\frac{4}{5}\right)$.

We can simplify further by dividing equal numerators and denominators to obtain a final value of $\frac{2}{5}$.

ANSWER: (A)