To solve \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \), we can first convert everything to fractions for easier calculation.
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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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Rewrite \( 8 \) and \( 10 \) as fractions with a denominator of \( 9 \): \[ 8 = \frac{8 \times 9}{9} = \frac{72}{9} \] \[ 10 = \frac{10 \times 9}{9} = \frac{90}{9} \]
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Substitute everything back into the expression: \[ \frac{157}{9} + \frac{5}{9} - \frac{72}{9} - \frac{90}{9} \]
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Combine the fractions: \[ \frac{157 + 5 - 72 - 90}{9} = \frac{157 + 5 - 162}{9} = \frac{162 - 162}{9} = \frac{0}{9} = 0 \]
Thus, the answer is \( \boxed{0} \).