无限循环小数化分数请将5.63121212.化为分数,要过程,谢谢!

问题描述:

无限循环小数化分数
请将5.63121212.化为分数,要过程,谢谢!

5.63 = 5 + 63/100分数a = 0.1212...100a = 12.1212... = 12 + a99a = 12a = 12/990.001212... = 12/9900 = 4/33005.63121212. = 5 + 63/100 + 4/3300 = 5+2083/3300