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14/15+34/35+62/63+98/99+142/143+194/195+254/255+322/323+398/399+482/483=?
人气:363 ℃ 时间:2019-12-14 16:37:46
解答
每一项变成1-一个数.如14/15=1-1/15
然后原式=10-1/15-1/35-1/63-.-1/483
=10-1/(3*5)-1/(5*7)-.-1/(21*23)
=10-1/2(1/3-1/5+1/5-1/7+.+1/21-1/23)
=10-1/2*(20/69)
=680/69
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