\(\frac{45\times16-17}{45\times15+28}\)
= \(\frac{45\times\left(15+1\right)-17}{45\times15+28}\)
= \(\frac{45\times15+45-17}{45\times15+28}\)
= \(\frac{45\times15+28}{45\times15+28}\)
= \(1\)
\(\frac{45\times16-17}{45\times15+28}\)
\(=\)\(\frac{45\times\left(15+1\right)-17}{45\times15+28}\)
\(=\)\(\frac{45\times15+45\times1-17}{45\times15+28}\)
\(=\)\(\frac{45\times15+\left(45-17\right)}{45\times15+28}\)
\(=\)\(\frac{45\times15+28}{45\times15+28}\)
\(=1\)