1/2+3/4+7/8+15/16+31/32+63/64这道题目用简便方法怎么做啊急啊

2024年11月18日 01:35
有2个网友回答
网友(1):

1/2+3/4+7/8+15/16+31/32+63/64
=6-(1/2+1/4+1/8+1/16+1/32+1/64)
=6-(32+16+8+4+2+1)/64
=6-63/64
=5又1/64

网友(2):

(1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+(1-1/32)+(1-1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/32-1/64)
=6-(1/2+1/4+1/8+1/16+1/16-1/64)
=6-(1/2+1/4+1/8+1/8-1/64)
=6-(1-1/64)
=6-63/64