1-1\\4-1\\8-1\\16-1\\32-164怎么简便计算

问题描述:

1-1\\4-1\\8-1\\16-1\\32-164怎么简便计算

1-1/4-1/8-1/16-1/32-1/64
=1-1/4-(1/4-1/8)-(1/8-1/16)-(1/16-1/32)-(1/32-1/64)
=1-1/4-1/4+1/8-1/8+1/16-1/16+1/32-1/32+1/64
=1-1/4-1/4+1/64
=33/64