(1又2/3+2又3/4+3又4/5+.+27又28/29+28又29/30)/(3又1/3+5又2/4+7又3/5+.+55又27/29+57又28/30)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 17:19:08
![(1又2/3+2又3/4+3又4/5+.+27又28/29+28又29/30)/(3又1/3+5又2/4+7又3/5+.+55又27/29+57又28/30)](/uploads/image/z/1564747-43-7.jpg?t=%281%E5%8F%882%2F3%2B2%E5%8F%883%2F4%2B3%E5%8F%884%2F5%2B.%2B27%E5%8F%8828%2F29%2B28%E5%8F%8829%2F30%29%2F%EF%BC%883%E5%8F%881%2F3%2B5%E5%8F%882%2F4%2B7%E5%8F%883%2F5%2B.%2B55%E5%8F%8827%2F29%2B57%E5%8F%8828%2F30%EF%BC%89)
xAn0E2-wi,MӞ^"e
q(T.">MV~GhX
Z0RHc@kNzV̸Z(+K[0nMǧr7¦.o;ٜթ}k/{RƎaOV5.P\_HE`A/|
ߣnhpkVYdt2:\3ZX
d)+n>/>&YDvo]WOoܾ"3ekO6
(1又2/3+2又3/4+3又4/5+.+27又28/29+28又29/30)/(3又1/3+5又2/4+7又3/5+.+55又27/29+57又28/30)
(1又2/3+2又3/4+3又4/5+.+27又28/29+28又29/30)/(3又1/3+5又2/4+7又3/5+.+55又27/29+57又28/30)
(1又2/3+2又3/4+3又4/5+.+27又28/29+28又29/30)/(3又1/3+5又2/4+7又3/5+.+55又27/29+57又28/30)
1又2/3+2又3/4+3又4/5+……+27又28/29+28又29/30
=(2-1/3)+(3-1/4)+(4-1/5)+……+(28-1/29)+(29-1/30)
=(2+3+4+……+29) - (1/3+1/4+1/5+……+1/30)
3又1/3+5又2/4+7又3/5+……+55又27/29+57又28/30
=(4-2/3)+(6-2/4)+(8-2/5)+……+(56-2/29)+(58-2/30)
=(4+6+8+……+58) - 2*(1/3+1/4+1/5+……+1/30)
=2*(2+3+4+……+29) -2*(1/3+1/4+1/5+……+1/30)
=2*[(2+3+4+……+29) -(1/3+1/4+1/5+……+1/30)]
原式=【(2+3+4+……+29) - (1/3+1/4+1/5+……+1/30)】/【2*[(2+3+4+……+29) -(1/3+1/4+1/5+……+1/30)]】
=1/2