|1/3-1/4|+|1/4-1/5|+.+|1/19-1/20|=

题目详情

▼优质解答

答案和解析

|1/3-1/4|+|1/4-1/5|+.+|1/19-1/20|
=(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+...+(1/19-1/20)
=1/3-1/4+1/4-1/5+1/5-1/6+...1/19-1/20
=1/3-1/20
=17/60

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