计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 09:39:52
计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.

计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.
计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.

计算:(1-1/2-1/3-1/4-1/5)乘以(1/2+1/3+1/4+1/5+1/6)-(1-1/2-1/3-1/4-1/5-1/6)乘以(1/2+1/3+1/4+1/5)的结果是__________.
原式=(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5)+1/6*(1-1/2-1/3-1/4-1/5)
-(1-1/2-1/3-1/4-1/5)*(1/2+1/3+1/4+1/5)+1/6*(1/2+1/3+1/4+1/5)
=1/6*(1-1/2-1/3-1/4-1/5+1/2+1/3+1/4+1/5)
=1/6*1
=1/6