2. 外语
  3. What is the sum of the repeating decimals of the form 0. , where c and d are digits such that c＜d and c+d = 5?

What is the sum of the repeating decimals of the form 0. , where c and d are digits such that c＜d and c+d = 5?

admin2020-10-11  21
问题 What is the sum of the repeating decimals of the form 0. , where c and d are digits such that c＜d and c+d = 5?
选项 A、37/99
B、21/50
C、14/33
D、123/100
E、41/33
答案C
解析 循环小数化分数：多少位循环节，分母上就有几个9。故答案为C。

由于c＜d，c+d=5，故可能的取值为{0，5}，{1，4}，{2，3}，对应分数为5/99+14/99+23/99=42/99=14/33。
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