(1/10)x(1/11)+(1/11)x(1/12)+.........+(1/100)x(1/101)
=1/10-1/11+1/11-1/12+..........+1/100-1/101
=1/10-1/101
=91/1010.
(1/10)x(1/11)+(1/11)x(1/12)+.........+(1/100)x(1/101)
=1/10-1/11+1/11-1/12+..........+1/100-1/101
=1/10-1/101
=91/1010.
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