2.36 .36为循环小数；请问：如何化成分数

设X=2.3636…
则100X=236.3636…，
所以100X-X=99X=236.3636…-2.3636…=234，
则X=234/99=26/11

26/11

规律：
一位小数——0.x(x循环)，化成分数为：x/9
两位小数——0.xy(xy循环)，化成分数为：xy/99
。。。
题目中2.3636363636363636... = 2 + 36/99 = 2 + 4/11 = 26/11

0.3636....=0.3636.....(1)
0.36....*100=36.36....(2)
(2)-(1)
0.36....*99=36
0.36....=4/11
2+4/11=26/11

=2+36/99
=2+4/11

2.363636...=236.3636.../100
大约数=26/11