To solve the expression \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \), we can simplify it step by step.
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Convert mixed number 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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Combine fractions: Now, 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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Combine with the other numbers: Now, subtract \( 8 \) and then \( 10 \): \[ 18 - 8 - 10 = 18 - 18 = 0 \]
Thus, the final result is: \[ \boxed{0} \]