1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 11:25:29
1/1x4+1/4x7+1/7x10+1/10x13+1/13X16简便1/1x4+1/4x7+1/7x10+1/10x13+1/13X16简便1/1x4+1/4x7+1/7x10+1/10x13+1

1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便
1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便

1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便
1/1x4+1/4x7+1/7x10+1/10x13+1/13X16
=(1/3) × [ (1-1/4) + (1/4-1/7) + (1/7-1/10) + (1/10-1/13) + (1/13-1/16) ]
=(1/3) × [ 1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16 ]
=(1/3) × [ 1-1/16 ]
=(1/3) × (15/16)
=5/16

简便