AMC8 2012

AMC8 2012 · Q4

AMC8 2012 · Q4. It mainly tests Fractions.

Peter's family ordered a 12-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?

Peter 一家晚餐点了 12 片比萨。Peter 吃了一片，并与弟弟 Paul 平分另一片。Peter 吃了比萨的几分之几？

(A) $\frac{1}{24}$ $\frac{1}{24}$

(B) $\frac{1}{12}$ $\frac{1}{12}$

(D) $\frac{1}{6}$ $\frac{1}{6}$

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

Answer

Correct choice: (C)

正确答案：（C）

Solution

Peter ate $1 + \frac{1}{2} = \frac{3}{2}$ slices. The pizza has $12$ slices total. Taking the ratio of the amount of slices Peter ate to the amount of slices in the pizza, we find that Peter ate $\dfrac{\frac{3}{2}\text{ slices}}{12\text{ slices}} = \boxed{\textbf{(C)}\ \frac{1}{8}}$ of the pizza.

Peter 吃了 $1 + \frac{1}{2} = \frac{3}{2}$ 片。比萨总共有 12 片。Peter 吃的比例为 $\dfrac{\frac{3}{2}\text{片}}{12\text{片}} = \boxed{\textbf{(C)}\ \frac{1}{8}}$。

Topics

AR.001 Fractions