1/2+3/4+7/8+31/32+63/64+127/128

问题描述:

1/2+3/4+7/8+31/32+63/64+127/128
一定要详细,1/2+3/4+7/8+31/32+63/64+127/128最好说明为什麽要这麽做
写错了,是1/2+3/4+7/8+16/15+31/32+63/64+127/128

1/2+3/4+7/8+16/15+31/32+63/64+127/128
=1-1/2+1-1/4+1-1/8+1-1/16+1-1/32+1-1/64+1-1/128
=7-(1/2+1/4+1/8+1/16+1/32+1/64+1/128)
=7-(1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64+1/64-1/128)
=7-(1-1/128)
=6+1/128
=6又128分之1
希望帮到您哦