5/6+7/9

To add the fractions \( \frac{5}{6} \) and \( \frac{7}{9} \), we need to find a common denominator.

The least common multiple (LCM) of 6 and 9 is 18.

Now, we can convert each fraction to have the common denominator of 18:

1. Convert \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18} \]

2. Convert \( \frac{7}{9} \): \[ \frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18} \]

Now we can add the two fractions: \[ \frac{15}{18} + \frac{14}{18} = \frac{15 + 14}{18} = \frac{29}{18} \]

So, \( \frac{5}{6} + \frac{7}{9} = \frac{29}{18} \) or as a mixed number, it can be expressed as \( 1 \frac{11}{18} \).