The given expression is:

$6 \frac{5}{20} + 2 \frac{10}{20}$

First, we convert the mixed numbers to improper fractions:

$6 \frac{5}{20} = \frac{6 \times 20 + 5}{20} = \frac{120 + 5}{20} = \frac{125}{20}$ $2 \frac{10}{20} = \frac{2 \times 20 + 10}{20} = \frac{40 + 10}{20} = \frac{50}{20}$

Now, add the two fractions:

$\frac{125}{20} + \frac{50}{20} = \frac{125 + 50}{20} = \frac{175}{20}$

Simplify the fraction:

$\frac{175}{20} = \frac{35}{4} = 8 \frac{3}{4}$

So, the result is:

$8 \frac{3}{4}$

Would you like more details or have any questions?

Here are some related questions:

1. How do you simplify improper fractions?
2. How do you add mixed numbers without converting to improper fractions?
3. How do you convert an improper fraction back to a mixed number?
4. How do you find the least common denominator in fractions?
5. How do you subtract mixed numbers?

Tip: Always simplify fractions when possible for a clearer final answer.