计算:3/2-5/6+7/12-9/20+.-197/9702+199/9900(提示:3/2=(1+2)/(1*2),5/6=(2+3)/(2*3))谢谢了,

问题描述:

计算:3/2-5/6+7/12-9/20+.-197/9702+199/9900(提示:3/2=(1+2)/(1*2),5/6=(2+3)/(2*3))谢谢了,
快啊...

原式=1.5+1/2+1/3-1/3-1/4+1/4+1/5+...+1/99+1/100=2+1/100=201/100