1/x-1/y=2013,则分式xy/x-y的值为

问题描述:

1/x-1/y=2013,则分式xy/x-y的值为

1/x-1/y=(y-x)/xy=2013
其倒数xy/(y-x)=1/2013
其相反数xy/(x-y)=-1/2013

1/x-1/y=2013
将上式子通分得
-(x-y)/xy=-2013
左右同取倒数得
xy/x-y=-1/2013