\[\boxed{\text{5.\ 88}}\]
\[\textbf{а)}\ \frac{1}{27}a - \left( \frac{4}{9}a - \frac{1}{3}a \right) =\]
\[= \frac{1}{27}a - \frac{12}{27}a + \frac{9}{27}a =\]
\[= \frac{10}{27}a - \frac{12}{27}a = - \frac{2}{27}a\]
\[\textbf{б)}\ \frac{5}{7} \cdot \left( \frac{7}{5}a - 7 \right) - 9 \cdot \left( 2\frac{1}{3}a + \frac{5}{9} \right) =\]
\[= a - 5 - 9 \cdot \frac{7}{3}a - 5 =\]
\[= a - 21a - 10 = - 20a - 10\]
\[= 1,2c - 3,6 - 0,9c + 2,1 =\]
\[= 0,3c - 1,5\]
\[\textbf{г)}\ \frac{1}{9} \cdot (0,9b - 1,8) - \frac{1}{2} \cdot (0,2b - 0,4) =\]
\[= 0,1b - 0,2 - 0,1b + 0,2 = 0\]