1x1/3+1/2x1/4+1/3x1/5.+1/19x1/21用简便方法计算等于多少
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![1x1/3+1/2x1/4+1/3x1/5.+1/19x1/21用简便方法计算等于多少](/uploads/image/z/1758683-11-3.jpg?t=1x1%2F3%2B1%2F2x1%2F4%2B1%2F3x1%2F5.%2B1%2F19x1%2F21%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%AE%A1%E7%AE%97%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91)
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1x1/3+1/2x1/4+1/3x1/5.+1/19x1/21用简便方法计算等于多少
1x1/3+1/2x1/4+1/3x1/5.+1/19x1/21用简便方法计算等于多少
1x1/3+1/2x1/4+1/3x1/5.+1/19x1/21用简便方法计算等于多少
1x1/3+1/2x1/4+1/3x1/5.+1/19x1/21
=1/2x(1-1/3+1/2-1/4+1/3-1/5+……+1/19-1/21)
=1/2x(1+1/2-1/20-1/21)
=1/2x589/420
=589/840