Thực hiện phép tính

a) \(\frac{1}{9} - 0,3 \cdot \frac{5}{9} + \frac{1}{3} + 5\) ;

h) \(0,8:\left\{ {0,2 - 7\left[ {\frac{1}{6} + \left( {\frac{5}{{21}} - \frac{5}{{14}}} \right)} \right]} \right\}\)

\( = 0,8:\left\{ {0,2 - 7\left[ {\frac{1}{6} + \left( { - \frac{5}{{42}}} \right)} \right]} \right\}\)

\[ = 0,8:\left\{ {0,2 - 7\left[ {\frac{1}{{21}}} \right]} \right\}\]

\[ = \frac{4}{5}:\left\{ {\frac{1}{5} - \frac{1}{3}} \right\}\]

e) \(\frac{{15}}{{37}} \cdot \left( {\frac{{38}}{{41}} - \frac{{74}}{{45}}} \right) - \frac{{38}}{{41}} \cdot \left( {\frac{{15}}{{37}} + \frac{{82}}{{76}}} \right)\)

\( = \frac{{15}}{{37}} \cdot \frac{{38}}{{41}} - \frac{{15}}{{37}} \cdot \frac{{74}}{{45}} - \frac{{38}}{{41}} \cdot \frac{{15}}{{37}} - \frac{{38}}{{41}} \cdot \frac{{82}}{{76}}\)

\[ = \left( {\frac{{15}}{{37}} \cdot \frac{{38}}{{41}} - \frac{{38}}{{41}} \cdot \frac{{15}}{{37}}} \right) + \left( { - \frac{{15}}{{37}} \cdot \frac{{74}}{{45}} - \frac{{38}}{{41}} \cdot \frac{{82}}{{76}}} \right)\]

\[ = 0 + \left( { - \frac{1}{1} \cdot \frac{2}{3} - \frac{{38}}{{41}} \cdot \frac{{41 \cdot 2}}{{38 \cdot 2}}} \right)\]