原式=1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7
=1-1/7
=6/7
1+1/2-5/6+7/12-9/20+11/30-13/42
=(1-5/6)+(1/2-9/20)+7/12+11/30-13/42
=1/6+1/20+7/12+11/30-13/42
=(1/20+11/30)+7/12-(13/42-1/6)
=(3/60+22/60)+7/12-(13/42-7/42)
=25/60+7/12-6/42
=5/12+7/12-1/7
=1-1/7
=6/7