1/22+1/23+1/24+1/25+1/26+1/27+1/28+1/29+1/30=?

问题描述:

1/22+1/23+1/24+1/25+1/26+1/27+1/28+1/29+1/30=?

原式=1/(22*23)+1/(24*25)+1/(26*27)+1/(28*29)+1/30
=(22+23)/(22*23)+(24+25)/(24*25)+(26+27)/(26*27)+(28+29)/(28*29)+1/30
=(45*24*25+49*22*23)/(22*23*24*25)+(26+27)(28*29)+(28+29)(26*27)/(26*27*28*29)
=51794/303600+83050/570024+1/30
数字太大无法用分式表示约等于=0.349628426