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1又2/3+2又2/15+3又2/35+4又2/63+5又2/99+6又2/143
题目详情
1又2/3+2又2/15+3又2/35+4又2/63+5又2/99+6又2/143
▼优质解答
答案和解析
1又2/3+2又2/15+3又2/35+4又2/63+5又2/99+6又2/143
=(1+2+3+4+5+6)+(2/3+2/15+2/35+2/63+2/99+2/143)
=(1+6)×6/2+(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)
=21+(1-1/13)
=21+12/13
=21又13分之12
=(1+2+3+4+5+6)+(2/3+2/15+2/35+2/63+2/99+2/143)
=(1+6)×6/2+(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)
=21+(1-1/13)
=21+12/13
=21又13分之12
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