1987 AJHSME Problems/Problem 13

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Problem

Which of the following fractions has the largest value?

$\text{(A)}\ \frac{3}{7} \qquad \text{(B)}\ \frac{4}{9} \qquad \text{(C)}\ \frac{17}{35} \qquad \text{(D)}\ \frac{100}{201} \qquad \text{(E)}\ \frac{151}{301}$

Solution

Note that the first four choices are a little less than $\frac{1}{2}$, but the last choice is just above $\frac{1}{2}$. Thus, the largest fraction is clearly $\boxed{\text{E}}$

See Also

1987 AJHSME Problems