计算下面各题

来源:百度知道 编辑:UC知道 时间:2024/06/12 00:59:50
计算下面各题:1/8128+1/254+1/508+1/1016+1/2032+1/4064+1/8128

取该式最大的分母作共分母,进行通分. 取8128.

自己算. 各项分子值都为8128除以分母值. 分数加法,你应该会吧?

1/126
1/8128+1/254+1/508+1/1016+1/2032+1/4064+1/8128
=(1/8128+1/8128)+1/254+1/508+1/1016+1/2032+1/4064
=(1/4064+1/4064)+1/254+1/508+1/1016+1/2032
=(1/2032+1/2032)+1/254+1/508+1/1016
=(1/1016+1/1016)+1/254+1/508
=(1/508+1/508))+1/254
=1/254+1/254
=1/126