1960 AMC 12 第 8 题

Question

数

2.5252525\ldots

可以写成分数。将该分数约成最简分数后，其分子与分母之和是：

The number

2.5252525\ldots

can be written as a fraction. When reduced to lowest terms the sum of the numerator and denominator of this fraction is:

7

29

141

349

以上都不是

none of these

将循环部分

0.525252\ldots

写成分母为

99

的分数

Write the repeating part

0.525252\ldots

using a denominator of

99

加上整数部分，再约分

Add the integer part and then reduce the fraction

有

2.525252\ldots=2+\frac{52}{99}=\frac{250}{99}\text{。}

这个分数已经是最简分数，并且

250+99=349

。

因此，正确答案是 D。

We have

2.525252\ldots=2+\frac{52}{99}=\frac{250}{99}.

This fraction is already in lowest terms, and

250+99=349.

Therefore, the correct answer is D.

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