Calculation:
- First, find a common denominator for all fractions
- Common denominator for 9, 5, and 4 is 180 (9 x 20 = 180, 5 x 36 = 180, 4 x 45 = 180)

Converting all fractions to have a denominator of 180:
- \( \frac{10}{9} = \frac{10 \times 20}{9 \times 20} = \frac{200}{180} \)
- \( \frac{3}{5} = \frac{3 \times 36}{5 \times 36} = \frac{108}{180} \)
- \( \frac{11}{4} = \frac{11 \times 45}{4 \times 45} = \frac{495}{180} \)
- \( \frac{1}{9} = \frac{1 \times 20}{9 \times 20} = \frac{20}{180} \)
- \( \frac{3}{4} = \frac{3 \times 45}{4 \times 45} = \frac{135}{180} \)
- \( \frac{2}{5} = \frac{2 \times 36}{5 \times 36} = \frac{72}{180} \)

Adding and subtracting the fractions:
\( \frac{200}{180} + \frac{108}{180} + \frac{495}{180} - \frac{20}{180} - \frac{135}{180} + \frac{72}{180} \)
- \( \frac{200 + 108 + 495 - 20 - 135 + 72}{180} \)
- \( \frac{720}{180} \)
- \( 4 \)
Therefore, \( \frac{10}{9} + \frac{3}{5} + \frac{11}{4} - \frac{1}{9} - \frac{3}{4} + \frac{2}{5} = 4 \).

Answer is 3.99