计算下面埃及分数的和
问题描述：
计算下面埃及分数的和
1/6=1/2*3=1/2-1/3 1/12=1/3*4=1/3-1/41-1/6-1/12-1/20
前2题是提示, 1-1/6-1/12-1/20需要解答,补充提示1/2=1/2*3=1-1/2
答
1-1/6-1/12-1/20=1-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)=1-(1-1/2)+1/3-1/3+1/4-1/4+1/5=1-1+1/2+1/3-1/3+1/4-1/4+1/5=1/2+1/5=7/10