\(\frac{18}{15}-\frac{85}{100}+\frac{42}{10}+\frac{18}{9}-\frac{12}{16}\)
= \(\frac{7}{20}+\frac{42}{10}+\frac{18}{9}-\frac{12}{16}\)
= \(\frac{23}{20}+\frac{18}{9}-\frac{12}{16}\)
= \(\frac{63}{20}-\frac{12}{16}\)
= \(\frac{12}{5}\).
\(\frac{18}{15}-\frac{85}{100}+\frac{42}{10}+\frac{18}{9}-\frac{12}{16}\)
\(=\frac{6}{5}-\frac{17}{20}+\frac{21}{5}+2-\frac{3}{4}\)
\(=\left(\frac{6}{5}+\frac{21}{5}\right)-\left(\frac{17}{20}+\frac{3}{4}\right)+2\)
\(=\frac{27}{5}-\frac{8}{5}+2\)
\(=3+2\)
=5