6 7/9 + 5 8/9

To add the mixed numbers \(6 \frac{7}{9}\) and \(5 \frac{8}{9}\):

1. First, add the whole numbers: \(6 + 5 = 11\)

2. Next, add the fractions: \(\frac{7}{9} + \frac{8}{9} = \frac{15}{9}\)

3. Now, simplify \(\frac{15}{9}\). It can be simplified to \(\frac{5}{3}\) (by dividing both the numerator and the denominator by 3).

4. Next, convert \(\frac{5}{3}\) into a mixed number: \(\frac{5}{3} = 1 \frac{2}{3}\)

5. Finally, add this to the whole number sum: \(11 + 1 = 12\)

So, the final result is: \[ 12 \frac{2}{3} \]

Therefore, \(6 \frac{7}{9} + 5 \frac{8}{9} = 12 \frac{2}{3}\).