1995 AMC 8 第 3 题

先试着解答 1995 AMC 8 第 3 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1995 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

3.

下列哪种运算对一个数的作用,与先乘以 34\dfrac34 再除以 35\dfrac35 相同?
Which of the following operations has the same effect on a number as multiplying by 34\dfrac34 and then dividing by 35?\dfrac35?
除以 43\dfrac43
dividing by 43\dfrac43
除以 920\dfrac{9}{20}
dividing by 920\dfrac{9}{20}
乘以 920\dfrac{9}{20}
multiplying by 920\dfrac{9}{20}
除以 54\dfrac54
dividing by 54\dfrac54
乘以 54\dfrac54
multiplying by 54\dfrac54
答案:E
知识点:分数
小提示:
除以 35\dfrac35 等于乘以 53\dfrac53
Dividing by 35\dfrac35 is the same as multiplying by 53\dfrac53
大提示:
把 34×53\dfrac34 \times \dfrac53 合并成一个分数
Combine 34×53\dfrac34 \times \dfrac53 into a single fraction
解答:
除以 35\dfrac35 等于乘以 53\dfrac53,所以两个运算合起来相当于乘以
34×53=54。\dfrac34 \times \dfrac53 = \dfrac54\text{。}
因此总效果是乘以 54\dfrac54。
所以正确答案是 E。
Dividing by 35\dfrac35 is the same as multiplying by 53,\dfrac53, so the two operations together multiply by
34×53=54.\dfrac34 \times \dfrac53 = \dfrac54.
So the combined effect is multiplying by 54\dfrac54.
Thus, the correct answer is E .
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