The fraction halfway between (1/5) and (1/3) (on the number line) is

AMC 8 1985 Problem 10

AMC8 1985 年第 10 题

比与比例★★☆☆☆

The fraction halfway between

\displaystyle \frac{1}{5}

and

\displaystyle \frac{1}{3}

(on the number line) is

数轴上

\displaystyle \frac{1}{5}

和

\displaystyle \frac{1}{3}

正中间的分数是

正确答案 · Correct Answer

Solution 1

The fraction halfway between

\displaystyle \frac{1}{5}

and

\displaystyle \frac{1}{3}

is their average, which is

\displaystyle \frac{1}{2}\left(\frac{1}{5}+\frac{1}{3}\right) = \frac{1}{2}\left(\frac{8}{15}\right) = \frac{4}{15}

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