简算:1/15+1/35+1/63+1/99

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 13:30:39
简算:1/15+1/35+1/63+1/99

简算:1/15+1/35+1/63+1/99
简算:1/15+1/35+1/63+1/99

简算:1/15+1/35+1/63+1/99
1/15+1/35+1/63+1/99
=(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)÷2
=(1/3-1/11)÷2
=4/33

=1/2(1/3-1/5)+1/2(1/5-1/7)+1/2(1/7-1/9)+1/2(1/9-1/11)
=1/2(1/3-1/11)
=4/33

1/35=0.5*(1/5-1/7) 1/63=0.5*(1/7-1/9) 1/99=0.5*(1/9-1/11)相加得到 原式=0.5*(1/3-1/11)=4/33 简单:计算机