2017/2016-1=2017/2017-2016/2017=1/2017
2016/2015-1=2016/2016-2015/2016=1/2016
Vì 1/2017<1/2016nên 2017/2016<2016/2015
Ta có :
1 - 2017 /2016 = 1/2016
1 - 2016/2015 = 1/2015
Vì 1/2015 > 1/2016
nên ..............
Ta có: 1 - 2017/2016 = -1/2016
Mà 1 - 2016/2015 = -1/2015
Vì -1/2016 < -1/2015
Nên 2017/2016 > 2016/2015
ta có : \(\frac{2017}{2016}=\frac{\left(2016+1\right)}{2016}=1+\frac{1}{2016}\)
\(\frac{2016}{2015}=\frac{\left(2015+1\right)}{2015}=1+\frac{1}{2015}\)
Vì \(\frac{1}{2016}< \frac{1}{2015}\)nên \(\frac{2017}{2016}< \frac{2016}{2015}\)