1/2+1/3+3/4+2/5+5/7+7/8+9/20+10/21+11/24+19/35
9/20=1/4+1/5,10/21=1/3+1/7,
11/24=1/3+1/8,19/35=2/5+1/7
原式
= 1/2 +1/3+3/4+2/5+5/7+7/8+(1/4+1/5)+(1/3+1/7)+(1/3+1/8)+(2/5+1/7)
= 1/2 +(1/3+1/3+1/3) +(1/4+3/4) +(2/5+1/5+2/5) +(5/7+1/7+1/7) +(7/8+1/8)
= 1/2 +1 +1 +1 +1 +1
= 5又1/2