AMC8 1998

AMC8 1998 · Q1

AMC8 1998 · Q1. It mainly tests Fractions.

For $x = 7$, which of the following is smallest?

当 $x = 7$ 时，下列哪个最小？

(A) \frac{6}{x} \frac{6}{x}

(B) \frac{6}{x+1} \frac{6}{x+1}

(D) \frac{x}{6} \frac{x}{6}

(E) \frac{x+1}{6} \frac{x+1}{6}

Answer

Correct choice: (B)

正确答案：（B）

Solution

Only $\frac{6}{7}$(A) and $\frac{6}{8}$(B) are less than 1. For fractions: If the numerators are equal, the smaller fraction will have a larger denominator. Therefore, $\frac{6}{8}$ is smaller than $\frac{6}{7}$(A).

只有 $\frac{6}{7}$(A) 和 $\frac{6}{8}$(B) 小于 1。对于分数：如果分子相同，分母越大的分数越小。因此，$\frac{6}{8}$ 比 $\frac{6}{7}$(A) 小。

Topics

AR.001 Fractions