\(\frac{2016\cdot2017+2015}{2018\cdot2017-2019}\)
= \(\frac{2016\cdot2017+2015}{\left(2016+2\right)\cdot2017-2019}\)
= \(\frac{2016\cdot2017+2015}{2016\cdot2017+2\cdot2017-2019}\)
= \(\frac{2016\cdot2017+2015}{2016\cdot2017+4034-2019}\)
= \(\frac{2016\cdot2017+2015}{2016\cdot2017-2015}\)
= \(1\)
\(\frac{2016\times2017+2015}{2018\times2017-2019}\)
\(=\frac{2016\times2017+2015}{\left(2016+2\right)\times2017-2019}\)
\(=\frac{2016\times2017+2015}{2016\times2017+2\times2017-2019}\)
\(=\frac{2016\times2017+2015}{2016\times2017+4034-2019}\)
\(=\frac{2016\times2017+2015}{2016\times2017+2015}\)
\(=1\)