5/6+11/12+23/24+47/48/+95/96+191/192等于多少 要简便过程 急!
问题描述:
5/6+11/12+23/24+47/48/+95/96+191/192等于多少 要简便过程 急!
答
5/6+11/12+23/24+47/48/+95/96+191/192=(1-1/6)+(1-1/12)+(1-1/24)+(1-1/48)+(1-1/96)+(1-1/192)=6X1-(1/6+1/12+1/24+1/48+1/96+1/192)=6-(2/12+1/12+1/24+1/48+1/96+1/192)=6-(3/12+1/24+1/48+1/9...