1 / 2 × 5 + 1 / 3 × 5 + 1 / 8 × 11 + +Simple calculation of 20 × 1 / 23

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1 / 2 × 5 + 1 / 3 × 5 + 1 / 8 × 11 + +20 × 1 / 23
=1/10+1/15+（1/8+1/11+1/11-1/14+…… +1/20-1/23）/3
=1/6+（1/8-1/23）/3
=1/6+5/184
=107/552

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