2 & ~ 178; + 1 / (2 & ~ 178; - 1) + 3 & ~ 178; + 1 / (3 & ~ 178; - 1) +... + 100 & ~ 178; + 1 / (100 & ~ 178; - 1) is equal to the solving process

2 & ~ 178; + 1 / (2 & ~ 178; - 1) + 3 & ~ 178; + 1 / (3 & ~ 178; - 1) +... + 100 & ~ 178; + 1 / (100 & ~ 178; - 1) is equal to the solving process

=100+2/(2²-1)+2/(3²-1)+2/(4²-1)+…… +2/(100²-1)
=100+2/1×3+2/2×4+2/3×5+…… +2/99×101
=100+2/1×3+2/3×5+…… +2/99×101+2/2×4+2/4×6+…… +2/98×100
=100+1/1-1/101+1/2-1/100
=101 and 9899 / 10100
2/1×3=(3-1)/1×3=1/1-1/3
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