(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)=?

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(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)=?
(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)=?

(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)=?
(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)
=1/10-1/11+1/11-1/12+1/12-1/13+……+1/99-1/100
=1/10-1/100
=9/100

(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)
=1/10-1/11+1/11-1/12+1/12-1/13+...1/99-1/100
=1/10-1/100
=9/100