Question

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

Answer 1

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

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

2. Now, let's rewrite the entire expression:
\[
\frac{157}{9} + \frac{5}{9} - 8 - 10
\]

3. Combine the fractions:
\[
\frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18
\]

4. Now substitute \( 18 \) back into the expression:
\[
18 - 8 - 10
\]

5. Perform the subtractions step-by-step:
\[
18 - 8 = 10
\]
\[
10 - 10 = 0
\]

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