The problem states:

Paul walked $\frac{4}{5}$ of a mile from school to Evelyn's house and $\frac{2}{5}$ of a mile from Evelyn's house to his own house. How many miles did Paul walk in all?

To find the total distance Paul walked, we need to add the two fractions:

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

Since the fractions have the same denominator, we can simply add the numerators:

$\frac{4 + 2}{5} = \frac{6}{5}$

The fraction $\frac{6}{5}$ can be written as a mixed number:

$\frac{6}{5} = 1 \frac{1}{5}$

Answer:

Paul walked $\frac{6}{5}$ miles, or $1 \frac{1}{5}$ miles in total.

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

Here are 5 related questions to deepen understanding:

1. How would the answer change if Paul walked $\frac{3}{5}$ of a mile from Evelyn's house to his own house?
2. What would be the result if Paul walked $\frac{5}{5}$ of a mile each way?
3. How can you add fractions with different denominators?
4. How would you convert $\frac{6}{5}$ to a decimal?
5. What is the difference in distance if he walked back from his house to Evelyn’s again?

Tip: When adding fractions, make sure they have the same denominator before adding the numerators.