0.12121212~的循环小数等于几分之几

问题描述:

0.12121212~的循环小数等于几分之几

= 12/99 = 4/33

设X=0.1212~~~, 则100X=12+X,故X=4/33

0.12121212…………
= 0.01010101……+0.111111111……
1/99=0.01010101……
1/9=0.111111111……
所以1/99+1/9=0.01010101……+0.111111111……
0.12121212…………=1/99+1/9=12/99=4/33