\(\frac{16.17-5}{16.16+11}=\frac{16.\left(16+1\right)-5}{16.16+11}=\frac{16.16+\left(16-5\right)}{16.16+11}=\frac{16.16+11}{16.16+11}=1\)
\(\frac{16\cdot17-5}{16\cdot16+11}\)
\(=\frac{16\cdot\left(16+1\right)-5}{16\cdot16+11}\)
\(=\frac{16\cdot16+16\cdot1-5}{16\cdot16\cdot16}\)
\(=\frac{16-5}{11}=\frac{11}{11}=1\)
\(\frac{16\times17-5}{16\times16+11}=\frac{16\times16+16-5}{16\times16+11}=\frac{16\times16+11}{16\times16+11}=1\)