怎么解数字题:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/100-1/99|怎么解,

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怎么解数字题:|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/100-1/99|怎么解,

|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/100-1/99|
=1/2-1/3 + 1/3-1/4 + 1/4-1/5 + ...+ 1/99-1/100
=1/2-1/100
=49/100