Which of the following numbers lies between 3 and 4 on a number line?
(A) $\frac{5}{2}$
(B) $\frac{11}{4}$
(C) $\frac{11}{5}$
(D) $\frac{13}{4}$
(E) $\frac{13}{5}$
Converting each of the improper fractions to a mixed fraction, we get $\frac{5}{2}=2 \frac{1}{2}, \frac{11}{4}=2 \frac{3}{4}$, $\frac{11}{5}=2 \frac{1}{5}, \frac{13}{4}=3 \frac{1}{4}$, and $\frac{13}{5}=2 \frac{3}{5}$.

Of the five answers given, the number that lies between 3 and 4 on a number line is $3 \frac{1}{4}$ or $\frac{13}{4}$.

ANsWER: (D)