We need to add two mixed numbers: $7\frac{1}{6} + 19\frac{5}{6}$.

1. Problem Description

We need to add two mixed numbers: $7\frac{1}{6} + 19\frac{5}{6}$.

2. Solution Steps

First, we add the whole numbers:

$7 + 19 = 26$

Next, we add the fractions:

$\frac{1}{6} + \frac{5}{6} = \frac{1+5}{6} = \frac{6}{6} = 1$

Now, we add the sum of the whole numbers and the sum of the fractions:

$26 + 1 = 27$

3. Final Answer

27