3/2+13/6+37/12+81/20+151/30+253/42+393/56+577/72+730/81+1101
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/04 06:05:58
3/2+13/6+37/12+81/20+151/30+253/42+393/56+577/72+730/81+1101/110怎么简便运算
3/2+13/6+37/12+81/20+151/30+253/42+393/56+577/72+730/81+1101/110
=1+1/2+2+1/6+3+1/12+4+1/20+5+1/30+6+1/42+7+1/56+8+1/72+9+1/81+10+1/110
=(1+2+3+4+5+6+7+8+9+10)+(1/2+1/6+...+1/110)
=55+(1/1×2+1/2×3+1/3×4+1/4×5+1/5×6+1/6×7+1/7×8+1/8×9+1/9×10+1/10×11)
=55+(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11)
=55+1-1/11=55+10/11=615/11.
=1+1/2+2+1/6+3+1/12+4+1/20+5+1/30+6+1/42+7+1/56+8+1/72+9+1/81+10+1/110
=(1+2+3+4+5+6+7+8+9+10)+(1/2+1/6+...+1/110)
=55+(1/1×2+1/2×3+1/3×4+1/4×5+1/5×6+1/6×7+1/7×8+1/8×9+1/9×10+1/10×11)
=55+(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11)
=55+1-1/11=55+10/11=615/11.
3/2+13/6+37/12+81/20+151/30+253/42+393/56+577/72+730/81+1101
3/2+13/6+37/12+81/20+151/30+253/42+393/56+577/72等于几
1+13/6+37/12+81/20+151/30+253/42+393/56+577/72【简算】
3+13/6+37/12+81/20+151/30+253/42+393/56+577/72+811/90怎样简算?
3/2+13/6+37/12+81/20+151/30+253/42+393/56
3/2-17/6+37/12-99/20+151/30-293/42+393/56-647/72+811/90等于多少,
(答得好给悬赏)3/2+13/6+37/12+85/20+151/30+252/42+392/56
3/2+7/6+13/12-21/20+31/30-43/42+57/56+73/72
1/6+1/12+1/20+1/30+1/42+1/56++1/72+1/81+1/90
2+6+12+20+30+42+56+72 求简算!
3/2-5/6+7/12-9/20+11/30-13/42+15/56-17/72 这是2009年11月6日总第1037
(1+2+3+4+5+6+7+8+9+10+11+12+13+14+151+61+71+81++91)×12345678