2/3+3/4+4/5+5/6+6/7+7/8=?
答案:4 悬赏:60 手机版
解决时间 2021-03-26 19:13
- 提问者网友：黑米和小志
- 2021-03-26 13:38
2/3+3/4+4/5+5/6+6/7+7/8=?
最佳答案
- 五星知识达人网友：你可爱的野爹
- 2021-03-26 15:01
2*1/3+3*1/4+4*1/5+5*1/6+6*1/7+7*1/8
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-/8
=6-(1/3+1/4+1/5+1/6+1/7+1/8)
=6-(1/3+1/4+1/6+1/7+1/8)
=6-(3/4+15/56)
=6-57/56
=279/56
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=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-/8
=6-(1/3+1/4+1/5+1/6+1/7+1/8)
=6-(1/3+1/4+1/6+1/7+1/8)
=6-(3/4+15/56)
=6-57/56
=279/56
龙者轻吟为您解惑,凤者轻舞闻您追问.
如若满意,请点击[满意答案];如若您有不满意之处,请指出,我一定改正!
希望还您一个正确答复!
祝您学业进步!
全部回答
- 1楼网友：不甚了了
- 2021-03-26 16:33
2/3+3/4+4/5+5/6+6/7+7/8
=1-(1/3)+1-(1/4)+1-(1/5)+……+1-(1/8)
=6-(1/3+1/6+1/4+1/8+1/5+1/7)
=6-(1/2+3/8+12/35)
=6-(7/8+12/35)
=6-341/280
=4又219/280
=1-(1/3)+1-(1/4)+1-(1/5)+……+1-(1/8)
=6-(1/3+1/6+1/4+1/8+1/5+1/7)
=6-(1/2+3/8+12/35)
=6-(7/8+12/35)
=6-341/280
=4又219/280
- 2楼网友：猎心人
- 2021-03-26 16:03
2/3+3/4+4/5+5/6+6/7+7/8=
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-1/8
=6-（1/3+1/6)-(1/4+1/8)-（1/5+1/7)
=6-（2/6+1/6)-(2/8+1/8)-（1/5+1/7)
=6-1/2-3/8-12/35
=6-(140/280+75/280+96/280)
=6-311/280
=4又249/280
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-1/8
=6-（1/3+1/6)-(1/4+1/8)-（1/5+1/7)
=6-（2/6+1/6)-(2/8+1/8)-（1/5+1/7)
=6-1/2-3/8-12/35
=6-(140/280+75/280+96/280)
=6-311/280
=4又249/280
- 3楼网友：逃夭
- 2021-03-26 15:52
解：
2/3+3/4+4/5+5/6+6/7+7/8
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-1/8
=6-(1/3+1/4+1/5+1/6+1/7+1/8)
=6-(1/3+1/4+1/6+1/5+1/7+1/8)
=6-(4/12+3/12+2/12+1/8+7/35+5/35)
=6-(9/12+1/8+12/35)
=6-(6/8+1/8+12/35)
=6-(7/8+12/35)
=6-(245/280+96/280)
=6-341/280
=6-1-61/280
=4又219/280
2/3+3/4+4/5+5/6+6/7+7/8
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-1/8
=6-(1/3+1/4+1/5+1/6+1/7+1/8)
=6-(1/3+1/4+1/6+1/5+1/7+1/8)
=6-(4/12+3/12+2/12+1/8+7/35+5/35)
=6-(9/12+1/8+12/35)
=6-(6/8+1/8+12/35)
=6-(7/8+12/35)
=6-(245/280+96/280)
=6-341/280
=6-1-61/280
=4又219/280
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