1又 1/3-7/12+9/20-11/30+13/42-15/56+17/72简便计算,

问题描述:

1又 1/3-7/12+9/20-11/30+13/42-15/56+17/72简便计算,

裂项法:
1又1/3-7/12+9/20-11/30+13/42-15/56+17/72
=1+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8+1/8+1/9
=1+1/9
=1又1/9