(i) \(\frac{11}{12}-\frac{17}{3}-\frac{14}{2}\)

= \(\frac{11-68-84}{12}\)

= \(\frac{-141}{12}\)

(ii) \(\frac{-6}{7}-\frac{-15}{7}-\frac{5}{6}-\frac{4}{9}\)

= \(\frac{-21}{7}-\frac{5}{6}-\frac{4}{9}\)

= \(\frac{-3\times 18-5\times 3-4\times 2}{18}\)

= \(\frac{-77}{18}\)

(iii) \(\frac{3}{5}+\frac{9}{5}+\frac{7}{3}-\frac{7}{3}-\frac{-13}{15}\)

= \(\frac{12}{5}-\frac{13}{15}\)

= \(\frac{12\times 3}{5\times 3}-\frac{13}{15}\)

= \(\frac{36-13}{15}\)

= \(\frac{23}{15}\)

(iv) \(\frac{4}{13}+\frac{9}{13}-\frac{8}{13}-\frac{5}{8}+\frac{9}{5}\)

= \(\frac{4+9-8}{13}-\frac{5}{8}+\frac{9}{5}\)

= \(\frac{5}{13}-\frac{5}{8}+\frac{9}{5}\)

= \(\frac{200-325+936}{520}\)

= \(\frac{811}{520}\)

(v) \(\frac{2}{3}+\frac{1}{3}+\frac{2}{5}-\frac{4}{5}\)

= \(\frac{2+1}{3}+\frac{2-4}{5}\)

= \(\frac{3}{3}-\frac{2}{5}\)

= \(\frac{15-6}{15}\)

= \(\frac{9}{15}\)

= \(\frac{3}{5}\)

(vi) \(\frac{5}{12}+\frac{7}{12}+\frac{2}{7}+\frac{9}{7}+\frac{1}{8}-\frac{5}{16}\)

= \(\frac{12}{12}+\frac{11}{7}+\frac{1}{8}-\frac{5}{16}\)

= \(\frac{336+528+42-105}{336}\)

= \(\frac{801}{336}\)