The image you've uploaded contains a set of fraction-based arithmetic problems. Here is a transcription of the problems:

1. $\frac{1}{5} + \frac{3}{5}$
2. $\frac{4}{7} + \frac{2}{7}$
3. $\frac{7}{12} + \frac{2}{12}$
4. $\frac{2}{9} + \frac{7}{9}$
5. $\frac{3}{15} + \frac{5}{15}$
6. $\frac{2}{7} + \frac{1}{7}$
7. $\frac{2}{10} + \frac{3}{10}$
8. $\frac{4}{9} + \frac{1}{9}$
9. $\frac{5}{8} + \frac{3}{8}$

Would you like detailed solutions for all of these problems?

Here are some related questions:

1. What is the general process for adding fractions with the same denominator?
2. How do you simplify fractions after adding them?
3. What happens if the fractions have different denominators?
4. Can you explain why the denominator remains the same when adding fractions with the same denominator?
5. What methods can be used to add fractions more efficiently?

Tip: When adding fractions with the same denominator, you only need to add the numerators, and the denominator remains unchanged.