To solve the expression \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \), we can follow these steps:
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Convert \( 17 \frac{4}{9} \) to an improper fraction: \[ 17 \frac{4}{9} = \frac{17 \times 9 + 4}{9} = \frac{153 + 4}{9} = \frac{157}{9} \]
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Add \( \frac{5}{9} \) to \( \frac{157}{9} \): \[ \frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18 \]
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Now, subtract \( 8 \) and \( 10 \): \[ 18 - 8 - 10 = 10 - 10 = 0 \]
The final result is \( 0 \).
Thus, the answer is \( 0 \).