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1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45=几?
题目详情
1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45=几?
▼优质解答
答案和解析
1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45
=(1/3+1/6)+(1/10+1/15)+(1/21+1/28)+(1/36+1/45)
=(2+1)/6+(3+2)/30+(4+3)/84+(5+4)/180
=1/2+1/6+1/12+1/20
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
=1-1/5
=4/5
=(1/3+1/6)+(1/10+1/15)+(1/21+1/28)+(1/36+1/45)
=(2+1)/6+(3+2)/30+(4+3)/84+(5+4)/180
=1/2+1/6+1/12+1/20
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
=1-1/5
=4/5
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