5/1×6+5/6×11+5/11×16+…+5/21×26=( )

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5/1×6+5/6×11+5/11×16+…+5/21×26=( )
5/1×6+5/6×11+5/11×16+…+5/21×26=( )

5/1×6+5/6×11+5/11×16+…+5/21×26=( )
5/1×6+5/6×11+5/11×16+…+5/21×26
=1-1/6+1/6-1/11+1/11-1/16+...1/21-1/26
=1-1/26
=25/26

5/(1×6)+5/(6×11)+5/(11×16)+…+5/(21×26)
=1-1/6+1/6-1/11+1/11-1/16+..............+1/21-1/26
=1-1/26
=25/26