To add the fractions \( \frac{5}{2} \) and \( \frac{2}{5} \), you'll need a common denominator.
The least common multiple of 2 and 5 is 10.
Now, convert each fraction:
\[ \frac{5}{2} = \frac{5 \times 5}{2 \times 5} = \frac{25}{10} \]
\[ \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \]
Now, add the two fractions:
\[ \frac{25}{10} + \frac{4}{10} = \frac{25 + 4}{10} = \frac{29}{10} \]
So, \( \frac{5}{2} + \frac{2}{5} = \frac{29}{10} \) or 2.9 in decimal form.