Of the fractions $\frac{3}{4}, \frac{7}{8}, \frac{13}{16}$, and $\frac{1}{2}$, what is the difference between the largest and the
smallest?
(A) $\frac{3}{8}$
(B) $\frac{6}{7}$
(C) $\frac{5}{16}$
(D) $\frac{1}{16}$
(E) $\frac{1}{8}$
To determine which of the fractions are the largest and smallest, we write each using a common denominator of 16 as $\frac{12}{16}, \frac{14}{16}, \frac{13}{16}$, and $\frac{8}{16}$.

Therefore, the largest is $\frac{7}{8}=\frac{14}{16}$ and the smallest is $\frac{1}{2}=\frac{8}{16}$.

The difference between these two fractions is $\frac{14}{16}-\frac{8}{16}=\frac{6}{16}=\frac{3}{8}$.

ANSWER: (A)