THực hiện phép tính: ​\(\frac{{ - 5}}{9} + \frac{5}{9}:\left( {1\frac{2}{3} - 2\frac{1}{{12}}} \right)\)

* Hướng dẫn giải

Ta có:

\(\begin{array}{l} \frac{{ - 5}}{9} + \frac{5}{9}:\left( {1\frac{2}{3} - 2\frac{1}{{12}}} \right) = \frac{{ - 5}}{9} + \frac{5}{9}:\left( {\frac{5}{3} - \frac{{25}}{{12}}} \right)\\ = \frac{{ - 5}}{9} + \frac{5}{9}:\left( {\frac{{20}}{{12}} - \frac{{25}}{{12}}} \right) = \frac{{ - 5}}{9} + \frac{5}{9}:\left( {\frac{{ - 5}}{{12}}} \right)\\ = \frac{{ - 5}}{9} + \frac{5}{9}.\left( {\frac{{ - 12}}{5}} \right) = \frac{{ - 17}}{9} \end{array}\)