\(\left[ {\left( {\frac{{ - 3}}{8} + \frac{{11}}{{23}}} \right):\frac{5}{9} + \left( {\frac{{ - 5}}{8} + \frac{{12}}{{23}}} \right):\frac{5}{9}} \right]\,\,.\,\,\frac{{ - 11}}{{325}}\);
Lời giải:
\(\left[ {\left( {\frac{{ - 3}}{8} + \frac{{11}}{{23}}} \right):\frac{5}{9} + \left( {\frac{{ - 5}}{8} + \frac{{12}}{{23}}} \right):\frac{5}{9}} \right]\,\,.\,\,\frac{{ - 11}}{{325}}\)
\( = \left[ {\left( {\frac{{ - 3}}{8} + \frac{{11}}{{23}}} \right)\,\,.\,\,\frac{9}{5} + \left( {\frac{{ - 5}}{8} + \frac{{12}}{{23}}} \right)\,\,.\,\,\frac{9}{5}} \right]\,\,.\,\,\frac{{ - 11}}{{325}}\)
\( = \left\{ {\left[ {\left( {\frac{{ - 3}}{8} + \frac{{11}}{{23}}} \right) + \left( {\frac{{ - 5}}{8} + \frac{{12}}{{23}}} \right)} \right]\,\,.\,\,\frac{9}{5}} \right\}\,\,.\,\,\frac{{ - 11}}{{325}}\)
\( = \left\{ {\left[ {\left( {\frac{{ - 3}}{8} + \frac{{ - 5}}{8}} \right) + \left( {\frac{{11}}{{23}} + \frac{{12}}{{23}}} \right)} \right]\,\,.\,\,\frac{9}{5}} \right\}\,\,.\,\,\frac{{ - 11}}{{325}}\)
\[ = \left\{ {\left[ {( - 1) + 1} \right]\,\,.\,\,\frac{9}{5}} \right\}\,\,.\,\,\frac{{ - 11}}{{325}} = \left( {0\,\,.\,\,\frac{9}{5}} \right)\,\,.\,\,\frac{{ - 11}}{{325}}\]
\[ = 0\,\,.\,\,\frac{{ - 11}}{{325}} = 0\];
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