3/4+3/16+3/64+3/256+3/1024+3/4096 请说明思考过程

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 01:06:22
3/4+3/16+3/64+3/256+3/1024+3/4096 请说明思考过程

3/4+3/16+3/64+3/256+3/1024+3/4096 请说明思考过程
3/4+3/16+3/64+3/256+3/1024+3/4096 请说明思考过程

3/4+3/16+3/64+3/256+3/1024+3/4096 请说明思考过程
3/4+3/16+3/64+3/256+3/1024+3/4096
=3/4+3/16+3/64+3/256+3/1024+(3/4096+1/4096)-1/4096
=3/4+3/16+3/64+3/256+3/1024+1/1024-1/4096
=3/4+3/16+3/64+3/256+1/256-1/4096
=...自己推下来...
=3/4+1/4-1/4096
=1-1/4096
=4095/4096

3/4+3/16+3/64+3/256+3/1024+3/4096
=3/4+3/16+3/64+3/256+3/1024+(3/4096+1/4096)-1/4096
=3/4+3/16+3/64+3/256+3/1024+1/1024-1/4096
=3/4+3/16+3/64+3/256+1/256-1/4096
=3/4+1/4-1/4096
=1-1/4096
=4095/4096
他们有的有最小公倍数或谁是谁的倍数,把他们结合就可以了