The expression given in the image is:

$\frac{6}{8} + \frac{11}{12}$

To solve this, we need to find a common denominator for the two fractions.

Step 1: Simplify fractions

First, simplify the fraction $\frac{6}{8}$: $\frac{6}{8} = \frac{3}{4}$

Now we have the expression: $\frac{3}{4} + \frac{11}{12}$

Step 2: Find the least common denominator (LCD)

The denominators are 4 and 12. The least common denominator is 12.

Step 3: Convert both fractions to have the LCD

• $\frac{3}{4}$ needs to be converted to a denominator of 12: $\frac{3}{4} = \frac{9}{12}$

Now, we can add the fractions: $\frac{9}{12} + \frac{11}{12} = \frac{20}{12}$

Step 4: Simplify the result

Simplify $\frac{20}{12}$: $\frac{20}{12} = \frac{5}{3}$

Thus, the sum is: $\frac{5}{3}$

This is the simplified result.

Would you like a deeper explanation of any steps, or do you have other questions?

Here are 5 related questions to expand your understanding:

1. How do you find the least common denominator between any two fractions?
2. How can you convert an improper fraction like $\frac{5}{3}$ to a mixed number?
3. What is the general method for adding fractions with unlike denominators?
4. Why is it important to simplify fractions before adding them?
5. How do you simplify fractions in the most efficient way?

Tip: Always simplify fractions early in the process if possible, as it makes calculations easier and reduces potential errors later on.