1除以(2除以3)除以(3除以4)除以.(2007除以2008)1/(2/3)/(3/4)/./(2007/2008)说过程详细每一步都说清楚“/”是除号
问题描述:
1除以(2除以3)除以(3除以4)除以.(2007除以2008)
1/(2/3)/(3/4)/./(2007/2008)
说过程详细每一步都说清楚
“/”是除号
答
1/(2/3)/(3/4)/........../2007/2008)
=1*3/2*4/3.......*2008/2007
=1/2*2008
=2008/2
=1004
答
1/(2/3)/(3/4)/./(2007/2008)=(1*3/2)/(3/4)/./(2007/2008)=(1*3/2*4/3))/((4/5)/./(2007/2008)=(1*3/2*4/3*5/4)....=(1*3/2*4/3*5/4*6/5*7/6*.*2008/2007)各项约掉,还剩首尾=1/2*2008=1004...