（0.2【2循环】+0.345【345循环】）×0.6【6循环】×0.789【789循环】×562分之495是多少？

解：0.2【2循环】=2/9
0.345【345循环】=345/999
0.6【6循环】 =6/9
0.789【789循环】 =789/999
所以原题= （2/9+345/999）*6/9 *789/999* 495/562
=（222/999+345/999）*6/9 *789/999* 495/562
=（567/999）*6/9 *789/999* 495/562
= 63/111 *2/3 *263/333*(5*9*11)/(2*281)
= 21/37 * 2/3 * 263/(37*9) *(5*9*11)/(2*281)
= 21 /3 * 263*(5*11)/(281)/37^2
=7*263*55/(37*37*281)
= 0.263

0.2[2循环]=2/9=222/999
0.345[345循环]=345/999
0.6[6循环]=6/9=2/3
0.789[789循环]=789/999

给你个思路自己算吧！

错了！答案是1485分之391，老师讲过了