AMC 8 1987 Problem 13

AMC8 1987 年第 13 题

比与比例★★★☆☆

Which of the following fractions has the largest value?

以下哪个分数值最大？

正确答案 · Correct Answer

解析 · Solution

Solution 1

Notice that

\displaystyle \frac{3}{7} < \frac{3}{6} = \frac{1}{2}

\displaystyle \frac{4}{9} < \frac{4}{8} = \frac{1}{2}

\displaystyle \frac{17}{35} < \frac{17}{34} = \frac{1}{2}

, and

\displaystyle \frac{100}{201} < \frac{100}{200} = \frac{1}{2}

, but

\displaystyle \frac{151}{301} > \frac{151}{302} = \frac{1}{2}

. Since

\displaystyle \frac{151}{301}

is the only answer choice greater than

\displaystyle \frac{1}{2}

, it must be the largest.

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