5/6+11/12+23/24+47/48/+95/96+191/192+383/384+767/768+1535/1536
=1-1/6+1-1/12+1-1/48+1-1/96+1-1/192+1-1/384+1-1/768+1-1/1536
=9-（256+128+32+16+8+4+2+1）/1536
=9-447/1536
=8又1536分之1089