(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/3又1/3+5又2/4+7又3/5+...+195又97/99+197又98/100
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 02:04:35
![(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/3又1/3+5又2/4+7又3/5+...+195又97/99+197又98/100](/uploads/image/z/245143-55-3.jpg?t=%EF%BC%881%E5%8F%882%2F3%2B2%E5%8F%883%2F4%2B3%E5%8F%884%2F5%2B...%2B97%E5%8F%8898%2F99%2B98%E5%8F%8899%2F100%EF%BC%89%2F3%E5%8F%881%2F3%2B5%E5%8F%882%2F4%2B7%E5%8F%883%2F5%2B...%2B195%E5%8F%8897%2F99%2B197%E5%8F%8898%2F100)
(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/3又1/3+5又2/4+7又3/5+...+195又97/99+197又98/100
(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/3又1/3+5又2/4+7又3/5+...+195又97/99+197又98/100
(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/3又1/3+5又2/4+7又3/5+...+195又97/99+197又98/100
(1又2/3)/(3又1/3)=(5/3)/(10/3)=1/2
(2又3/4)/(5又2/4)=(11/4)/(22/4)=1/2
…………
(98又99/100)/(197又98/100)=(9899/100)/(19798/100)=1/2
(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/(3又1/3+5又2/4+7又3/5+...+195又97/99+197又98/100)
=(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)/[2(1又2/3+2又3/4+3又4/5+...+97又98/99+98又99/100)]
=1/2