2/8+8/9

To add the fractions \( \frac{2}{8} \) and \( \frac{8}{9} \), you first need to find a common denominator.

1. Simplify \( \frac{2}{8} \): \[ \frac{2}{8} = \frac{1}{4} \]

2. Now the fractions to add are \( \frac{1}{4} \) and \( \frac{8}{9} \). The least common multiple (LCM) of the denominators 4 and 9 is 36.

3. Convert \( \frac{1}{4} \) to have a denominator of 36: \[ \frac{1}{4} \cdot \frac{9}{9} = \frac{9}{36} \]

4. Convert \( \frac{8}{9} \) to have a denominator of 36: \[ \frac{8}{9} \cdot \frac{4}{4} = \frac{32}{36} \]

5. Now add the fractions: \[ \frac{9}{36} + \frac{32}{36} = \frac{41}{36} \]

6. The final answer is: \[ \frac{41}{36} \] or as a mixed number: \[ 1 \frac{5}{36} \]