The image asks us to evaluate the expression:

$\frac{7}{8} + \frac{1}{6}$

We need to find the sum of these two fractions in simplest form. Here's the process:

1. Find the Least Common Denominator (LCD): The denominators are 8 and 6. To find the LCD, we need to find the least common multiple (LCM) of 8 and 6.

   Factors of 8: $2^3$
   Factors of 6: $2 \times 3$

   The LCM of 8 and 6 is $24$.

2. Convert each fraction to have the LCD: $\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}$ $\frac{1}{6} = \frac{1 \times 4}{6 \times 4} = \frac{4}{24}$

3. Add the fractions: $\frac{21}{24} + \frac{4}{24} = \frac{21 + 4}{24} = \frac{25}{24}$

4. Simplify if necessary: The fraction $\frac{25}{24}$ is already in its simplest form, as 25 and 24 have no common factors other than 1.

Thus, the final answer is:

$\boxed{\frac{25}{24}}$

Would you like further details, or do you have any questions about this?

Here are five related questions to expand your understanding:

1. How can we subtract fractions with different denominators?
2. What is the process to multiply two fractions?
3. How do you convert an improper fraction to a mixed number?
4. How do you find the least common denominator for three fractions?
5. How can you simplify complex fractions?

Tip: Always remember to simplify fractions at the end to ensure the answer is in its simplest form!