To solve the expression \(17 \frac{4}{9} + \frac{5}{9} - 8 - 10\), we follow the order of operations and simplify step by step:
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First, let's convert \(17 \frac{4}{9}\) into an improper fraction: \[ 17 \frac{4}{9} = 17 + \frac{4}{9} = \frac{17 \times 9 + 4}{9} = \frac{153 + 4}{9} = \frac{157}{9} \]
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Now, simplify \( \frac{157}{9} + \frac{5}{9} \): \[ \frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18 \]
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Now we subtract \(8\) and \(10\) from \(18\): \[ 18 - 8 = 10 \] \[ 10 - 10 = 0 \]
Thus, the final answer is \(0\).
Therefore, the answer is \(0\).