无限循环小数化分数请将5.63121212.化为分 - 知识问答

无限循环小数化分数请将5.63121212.化为分数,要过程,谢谢!

1个回答

5.63 = 5 + 63/100
分数a = 0.1212...
100a = 12.1212... = 12 + a
99a = 12
a = 12/99
0.001212... = 12/9900 = 4/3300
5.63121212. = 5 + 63/100 + 4/3300 = 5+2083/3300

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