1/1X2+1/2X3+1/3X4+1/4X5+1/5X6+1/6X7用什么简便方法计算?

题目详情

1/1X2+1/2X3+1/3X4+1/4X5+1/5X6+1/6X7 用什么简便方法计算?

▼优质解答

答案和解析

1/1X2+1/2X3+1/3X4+1/4X5+1/5X6+1/6X7
=1-1/2+1/2-1/3+1/3-1/4+.+1/6-1/7
=1-1/7
=6/7;
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