递等式计算 1/2-1/3+1/4-1/5+1/6-1/12

问题描述:

递等式计算 1/2-1/3+1/4-1/5+1/6-1/12

1/2-1/3+1/4-1/5+1/6-1/12
=6/12-4/12+3/12-1/5+2/12-1/12
=(6-4+3+2-1)/12-1/5
=5/10-2/10
=3/10