Here are the solutions to the given problems:

1. $\frac{3}{4} + \frac{3}{4}$:

   • The denominators are the same, so add the numerators. $\frac{3}{4} + \frac{3}{4} = \frac{3+3}{4} = \frac{6}{4}$ Simplify $\frac{6}{4}$: $\frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2}$

2. $\frac{4}{5} + \frac{2}{4}$:

   • Find the least common denominator (LCD). The LCD of 5 and 4 is 20.
   • Convert the fractions: $\frac{4}{5} = \frac{16}{20}, \quad \frac{2}{4} = \frac{10}{20}$
   • Add the fractions: $\frac{16}{20} + \frac{10}{20} = \frac{26}{20}$ Simplify $\frac{26}{20}$: $\frac{26}{20} = \frac{13}{10} = 1 \frac{3}{10}$

3. $\frac{1}{5} + \frac{4}{5}$:

   • The denominators are the same, so add the numerators. $\frac{1}{5} + \frac{4}{5} = \frac{1+4}{5} = \frac{5}{5} = 1$

4. $\frac{2}{4} + \frac{4}{8}$:

   • Simplify $\frac{2}{4} = \frac{1}{2}$ and $\frac{4}{8} = \frac{1}{2}$.
   • Add the simplified fractions: $\frac{1}{2} + \frac{1}{2} = 1$

Let me know if you have any questions or want further explanation!

Here are 5 related questions to expand your understanding:

1. How do you find the least common denominator of two fractions?
2. What are the steps to simplify a fraction?
3. How do you convert an improper fraction into a mixed number?
4. Why do you need to simplify fractions when adding them?
5. What are the key differences between adding fractions with the same and different denominators?

Tip: Always simplify fractions when possible to make the result easier to understand.