6 7/9+8/9

To solve \(6 \frac{7}{9} + \frac{8}{9}\): 1. Convert the mixed number to an improper fraction: \[ 6 \frac{7}{9} = \frac{6 \times 9 + 7}{9} = \frac{61}{9} \] 2. Add the fractions: \[ \frac{61}{9} + \frac{8}{9} = \frac{61 + 8}{9} = \frac{69}{9} \] 3. Simplify the fraction: \[ \frac{69}{9} = \frac{23}{3} \quad (\text{Divide the numerator and the denominator by 3}) \] 4. Convert back to a mixed number if desired: \[ \frac{23}{3} = 7 \frac{2}{3} \] So, \(6 \frac{7}{9} + \frac{8}{9} = 7 \frac{2}{3}\).