将0.34循环小数化成分数?3和4都循环了
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责编:小OO
时间:2024-10-20 11:42:37
将0.34循环小数化成分数?3和4都循环了
设x = 0.343434...(34循环)。将x乘以100得到。100x = 34.343434...(34循环)。将上述两个等式相减得到。100x - x = 34.343434...- 0.343434..。99x = 34;因此。x = 34/99;所以,0.34循环小数化成分数是34/99。
导读设x = 0.343434...(34循环)。将x乘以100得到。100x = 34.343434...(34循环)。将上述两个等式相减得到。100x - x = 34.343434...- 0.343434..。99x = 34;因此。x = 34/99;所以,0.34循环小数化成分数是34/99。

将0.34循环小数化成分数的过程如下:
设x = 0.343434...(34循环)
将x乘以100得到:
100x = 34.343434...(34循环)
将上述两个等式相减得到:
100x - x = 34.343434... - 0.343434...
99x = 34
因此:
x = 34/99
所以,0.34循环小数化成分数是34/99。
将0.34循环小数化成分数?3和4都循环了
设x = 0.343434...(34循环)。将x乘以100得到。100x = 34.343434...(34循环)。将上述两个等式相减得到。100x - x = 34.343434...- 0.343434..。99x = 34;因此。x = 34/99;所以,0.34循环小数化成分数是34/99。