0.02(2循环)+0.13(3循环)+0.24(4循环)+0.35(5循环)+0.46(6循环) 得数化为最简分数!

问题描述:

0.02(2循环)+0.13(3循环)+0.24(4循环)+0.35(5循环)+0.46(6循环) 得数化为最简分数!

0.02(2循环)+0.13(3循环)+0.24(4循环)+0.35(5循环)+0.46(6循环)
=0.1+0.2+0.3+0.4+(0.0222...+0.0333...+0.0444...+0.0555...+0.0666...)
=1+(2/9+3/9+4/9+5/9+6/9)/10
=1+20/9/10
=1+2/9
=11/9
如仍有疑惑,欢迎追问.