AMC8 1994

AMC8 1994 · Q1

AMC8 1994 · Q1. It mainly tests Fractions.

Which of the following is the largest?

以下哪个最大？

(A) $\frac{1}{3}$ $\frac{1}{3}$

(B) $\frac{1}{4}$ $\frac{1}{4}$

(D) $\frac{5}{12}$ $\frac{5}{12}$

(E) $\frac{7}{24}$ $\frac{7}{24}$

Answer

Correct choice: (D)

正确答案：（D）

Solution

Express all the choices as fractions using their least common denominator: $\frac{1}{3} = \frac{8}{24}$, $\frac{1}{4} = \frac{6}{24}$, $\frac{3}{8} = \frac{9}{24}$, $\frac{5}{12} = \frac{10}{24}$, $\frac{7}{24}$. Thus, $\frac{5}{12}$ is the largest.

将所有选项用最小公分母化为分数：$\frac{1}{3} = \frac{8}{24}$，$\frac{1}{4} = \frac{6}{24}$，$\frac{3}{8} = \frac{9}{24}$，$\frac{5}{12} = \frac{10}{24}$，$\frac{7}{24}$。因此，$\frac{5}{12}$ 是最大的。

Topics

AR.001 Fractions