3. \( \frac{3}{5}+\frac{1}{2} \)

To add the fractions \( \frac{3}{5} \) and \( \frac{1}{2} \), you need a common denominator. The least common denominator of 5 and 2 is 10. Convert each fraction: \( \frac{3}{5} = \frac{6}{10} \) and \( \frac{1}{2} = \frac{5}{10} \). Now, add them together: \( \frac{6}{10} + \frac{5}{10} = \frac{11}{10} \) or \( 1 \frac{1}{10} \). Adding fractions is like combining pieces of pie; you want them all cut the same way to fit nicely together! Common denominators are the secret ingredient to ensure these sweet slices can be mixed without leaving any behind. When you encounter fractions, a common mistake is forgetting to convert both fractions to the same denominator before adding. It's a little oversight that can lead to incorrect results. Always check your denominators first and remember: teamwork makes the math dream work!