证明:0.6=2/3求解
问题描述:
证明:0.6=2/3求解
答
因为0.6循环=0.666…… 0.66循环=0.666…… 所以0.6xh=0.66xh 故0.6xh=0.6xh*(10-1)/9 =(0.6xh*10-0.6xh*1)/9 =(0.66xh*10-0.6xh*1)/9 =(6.6xh-0.6xh)/9 =6/9 =2/3 即证 0.6=2/3