To solve the expression \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \), we will follow these steps:
-
Convert the mixed number \( 17 \frac{4}{9} \) to an improper fraction. \[ 17 \frac{4}{9} = 17 + \frac{4}{9} = \frac{17 \times 9 + 4}{9} = \frac{153 + 4}{9} = \frac{157}{9} \]
-
Now, let's rewrite the entire expression: \[ \frac{157}{9} + \frac{5}{9} - 8 - 10 \]
-
Combine the fractions: \[ \frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18 \]
-
Now substitute \( 18 \) back into the expression: \[ 18 - 8 - 10 \]
-
Perform the subtractions step-by-step: \[ 18 - 8 = 10 \] \[ 10 - 10 = 0 \]
Thus, the final result is: \[ \boxed{0} \]