计算 2/3+1/6+1/12+1/24+1/48+1/96+1/192

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计算2/3+1/6+1/12+1/24+1/48+1/96+1/192计算2/3+1/6+1/12+1/24+1/48+1/96+1/192计算2/3+1/6+1/12+1/24+1/48+1/96+

计算 2/3+1/6+1/12+1/24+1/48+1/96+1/192
计算 2/3+1/6+1/12+1/24+1/48+1/96+1/192

计算 2/3+1/6+1/12+1/24+1/48+1/96+1/192
2/3+1/6=5/6
5/6=1/12=11/12
11/12+1/24=23/24
…………
2/3+1/6+1/12+1/24+1/48+1/96+1/192 =191/192

先把各个分母化成192 再用分子相加 得出的数能化简就化简 应该计出的得数是191/192

2/3+1/6+1/12+1/24+1/48+1/96+1/192
=2/3+1/6+1/12+1/24+1/48+1/96+1/192 +1/192-1/192
=2/3+1/3-1/192
=1-1/192
=191/192
后面6个数,分母依次乘2,补上1/192后,2个1/192相加得1/96,...2个1/6相加得1/3。