0.12,2循环,+5分之2等于多少?

问题描述:

0.12,2循环,+5分之2等于多少?
1个回答 分类:数学 2014-11-22

问题解答:

我来补答
0.122.循环 + 2/5
= 0.1 + 0.022.循环 + 2/5
= 1/10 + 2×0.011111循环 + 2/5
= 1/10 + 2/90 + 2/5
= (9+2+18)/90
= 29/90
再问: 是二的循环
再答: 知道,前边不就是0.12222222......吗?
再问: 哦
再答: 最后统分错了一步,应为:
0.122....循环 + 2/5
= 0.1 + 0.022....循环 + 2/5
= 1/10 + 2×0.011111循环 + 2/5
= 1/10 + 2/90 + 2/5
= (9+2+36)/90
= 47/90

如果是:
0.12+0.22222循环+2/5
= 3/25+2×0.11111循环+2/5
= 3/25+2×1/9+2/5
= 3/25+2/9+2/5
= 27/225+50/225+90/225
= 167/225
 
 
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