\(5\frac{9}{10}:\frac{3}{2}-\left[2\frac{1}{3}\times4\frac{1}{2}-2\times2\frac{1}{3}\right]:\frac{7}{4}\)
\(=\frac{59}{10}:\frac{3}{2}-\left[\frac{7}{3}\times\frac{9}{2}-2\times\frac{7}{3}\right]:\frac{7}{4}\)
\(=\frac{59}{10}\times\frac{2}{3}-\left[\left(\frac{9}{2}-2\right)\times\frac{7}{3}\right]:\frac{7}{4}\)
\(=\frac{59}{10}\times\frac{2}{3}-\left[\frac{5}{2}\times\frac{7}{3}\right]:\frac{7}{4}\)
\(=\frac{59}{10}\times\frac{2}{3}-\frac{35}{6}:\frac{7}{4}\)
\(=\frac{59}{15}-\frac{35}{6}\times\frac{4}{7}\)
\(=\frac{59}{15}-\frac{221}{42}\)
\(=-\frac{93}{70}\)
Học tốt !