Which of these fractions is larger than $\frac{1}{2}$ ?
(A) $\frac{2}{5}$
(B) $\frac{3}{7}$
(C) $\frac{4}{7}$
(D) $\frac{3}{8}$
(E) $\frac{4}{9}$
A positive fraction is larger than $\frac{1}{2}$ if its denominator is less than two times its numerator. Of the answers given, $\frac{4}{7}$ is the only fraction in which the denominator, 7 , is less than 2 times its numerator, 4 (since $2 \times 4=8$ ). Therefore, $\frac{4}{7}$ is larger than $\frac{1}{2}$.

ANSWER: (C)