To add the fractions \( \frac{5}{6} \) and \( \frac{6}{5} \), you need to find a common denominator.
The least common denominator (LCD) of 6 and 5 is 30.
Now, convert each fraction:
For \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30} \]
For \( \frac{6}{5} \): \[ \frac{6}{5} = \frac{6 \times 6}{5 \times 6} = \frac{36}{30} \]
Now, you can add the two fractions: \[ \frac{25}{30} + \frac{36}{30} = \frac{25 + 36}{30} = \frac{61}{30} \]
So, the result of \( \frac{5}{6} + \frac{6}{5} \) is \( \frac{61}{30} \).
