What is 17 4/9 + 5/9 - 8 - 10?

1 answer

To solve \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \), follow these steps:

  1. Convert the mixed number to an improper fraction: \[ 17 \frac{4}{9} = 17 + \frac{4}{9} = \frac{17 \times 9}{9} + \frac{4}{9} = \frac{153}{9} + \frac{4}{9} = \frac{157}{9} \]

  2. Add \( \frac{5}{9} \) to \( \frac{157}{9} \): \[ \frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18 \]

  3. Subtract 8 and 10 from the result: \[ 18 - 8 - 10 = 18 - 18 = 0 \]

Therefore, the final result is: \[ \boxed{0} \]