\(6x\frac{7}{8}+\frac{9}{10}:\frac{5}{3}\)
=\(\frac{42}{8}+\frac{9}{10}x\frac{3}{5}\)
=\(\frac{21}{4}+\frac{21}{50}\)
=\(\frac{525}{100}+\frac{42}{100}\)
=\(\frac{567}{100}\)
=\(\frac{4}{5}:2x\frac{8}{9}:4\)
=\(\frac{4}{5}x\frac{1}{2}x\frac{8}{9}x\frac{1}{4}\)
=\(\frac{4x1x2x4x1}{5x2x9x4}\)
=\(\frac{4}{45}\)