Question

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72怎么简便计算？

Answer 1

您好，这道题需要把题中的分数分拆开来简便计算，具体计算过程见下图：

Answer 2

1/2加1/6加1/12加1/20加1/30加1/42加1/56加1/72如何轻松计算1/2+1/6+1/12+1/12+1/12+1/12+1/20+1/20+1/30+1/42+1/42+1/56+1/56+1/72+1/72+1/72===1/（1×+1/（2）×+1（4）×+1（4）×+1/（5）×+1+1（4）×+1/（4）×+1（4）×+1/+1（4）×+1/+1/+1/12+1/12+1/12+1/12+1/12+1/1/20+1/20+1/+1/+1/+1/9=1-1/9

Answer 3

1/2加1/6加1/12加1/20加1/30加1/42加1/56加1/72如何轻松计算1/2+1/6+1/12+1/12+1/12+1/12+1/20+1/20+1/30+1/42+1/42+1/56+1/56+1/72+1/72+1/72===1/（1×+1/（2）×+1（4）×+1（4）×+1/（5）×+1+1（4）×+1/（4）×+1（4）×+1/+1（4）×+1/+1/+1/12+1/12+1/12+1/12+1/12+1/1/20+1/20+1/+1/+1/+1/9=1-1/9

Answer 4

1／2＋1／6＋1／12＋1／20＋1／30＋1／42＋1／56＋1／72
＝1一1／2＋1／2一1／3＋1／3一1／4＋1／4一1／5＋1／5一1／6＋1／6一1／7＋1／7一1／8＋1／8一1／9
＝1一1／9
＝8／9

Answer 5

1/2加1/6加1/12加1/20加1/30加1/42加1/56加1/72；对1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72=1/（1×+1/（2）×+1/（3）×+1/（4）×+2/（5）×1/（6×+3/（7）×1/（8）×=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6-1/7-1/8+1/9=1-4的计算公式的评论1/9=8/9