Question

5 9/10 : 3/2-[ 2 1/3x 4 1/2-2x 2  1/3 ] :7/4

Answer 1

\(5\frac{9}{10}:\frac{3}{2}-\left[2\frac{1}{3}\times4\frac{1}{2}-2\times2\frac{1}{3}\right]:\frac{7}{4}\)

\(=\frac{59}{10}:\frac{3}{2}-\left[\frac{7}{3}\times\frac{9}{2}-2\times\frac{7}{3}\right]:\frac{7}{4}\)

\(=\frac{59}{10}\times\frac{2}{3}-\left[\left(\frac{9}{2}-2\right)\times\frac{7}{3}\right]:\frac{7}{4}\)

\(=\frac{59}{10}\times\frac{2}{3}-\left[\frac{5}{2}\times\frac{7}{3}\right]:\frac{7}{4}\)

\(=\frac{59}{10}\times\frac{2}{3}-\frac{35}{6}:\frac{7}{4}\)

\(=\frac{59}{15}-\frac{35}{6}\times\frac{4}{7}\)

\(=\frac{59}{15}-\frac{221}{42}\)

\(=-\frac{93}{70}\)

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