将0.63565循环化成分数怎么写?
1个回答
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你这0.63565循环是指哪种?
比如0.63565656565......
比如0.635656356563565.........
以0.63565656565......为例
具体算法如下:
设0.63565656565......=x
则63.565656565......=100x
100x-x=63.565656565......-0.63565656565......
99x=63.565-0.635=62.93
x=62.93/99=6293/9900
再看看能约分,就能得到答案,分解质因数6293=31×7×29,和9900没有公因数
所以0.63565656565......=6293/9900
其他的同理
比如0.63565656565......
比如0.635656356563565.........
以0.63565656565......为例
具体算法如下:
设0.63565656565......=x
则63.565656565......=100x
100x-x=63.565656565......-0.63565656565......
99x=63.565-0.635=62.93
x=62.93/99=6293/9900
再看看能约分,就能得到答案,分解质因数6293=31×7×29,和9900没有公因数
所以0.63565656565......=6293/9900
其他的同理
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