3/5+5/6

To add the fractions \( \frac{3}{5} \) and \( \frac{5}{6} \), you need a common denominator.

The least common multiple (LCM) of 5 and 6 is 30.

Now, convert the fractions:

1. For \( \frac{3}{5} \): \[ \frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30} \]

2. For \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30} \]

Now, add the two fractions: \[ \frac{18}{30} + \frac{25}{30} = \frac{18 + 25}{30} = \frac{43}{30} \]

So, \( \frac{3}{5} + \frac{5}{6} = \frac{43}{30} \).

This can also be expressed as a mixed number: \[ \frac{43}{30} = 1 \frac{13}{30} \]

Thus, the final answer is: \[ \frac{43}{30} \quad \text{or} \quad 1 \frac{13}{30} \]