Add.

Question

5/6 + 8/9
Write your answer as a fraction in simplest form.

Answer 1

To add the fractions \( \frac{5}{6} \) and \( \frac{8}{9} \), we need to find a common denominator.

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

Now we will convert each fraction to have a denominator of 18:

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

2. For \( \frac{8}{9} \): \[ \frac{8}{9} = \frac{8 \times 2}{9 \times 2} = \frac{16}{18} \]

Now we can add the two fractions: \[ \frac{15}{18} + \frac{16}{18} = \frac{15 + 16}{18} = \frac{31}{18} \]

The fraction \( \frac{31}{18} \) is already in simplest form.

Thus, the answer is: \[ \frac{31}{18} \]