To add \( \frac{3}{5} \) and \( \frac{1}{10} \), we first need a common denominator.
The least common denominator of 5 and 10 is 10. We can rewrite \( \frac{3}{5} \) with a denominator of 10:
\[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]
Now we can add the two fractions:
\[ \frac{6}{10} + \frac{1}{10} = \frac{6 + 1}{10} = \frac{7}{10} \]
So, \( \frac{3}{5} + \frac{1}{10} = \frac{7}{10} \).