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1/6+1/24+1/60+1/120+1/210+1/84

题目详情
1/6+1/24+1/60+1/120+1/210+1/84
▼优质解答
答案和解析
1/6+1/24+1/60+1/120+1/210+1/84 =(1/6+1/24)+(1/60+1/120)+(1/210+1/84) =(4/24+1/24)+(2/120+1/120)+(4/840+10/840) =5/24+1/40(3/120)+7/420(14/840) =175/840+21/840+14/840 =210/840 =1/4 这个比较简单 1/6+1/24+1/60+1/120+1/336+1/112+1/210 =(1/6+1/60+1/24+1/120)+(1/336+1/112)+1/210 =(20+2+5+1)/120+4/336+1/210 =7/30+1/210+1/84 =5/21+1/84 =21/84 =1/4 我认为已经算是简便的了,等我在想想