5. \( \frac{2}{5}+\frac{3}{10}= \)

To add these fractions, we first need a common denominator. The least common denominator of 5 and 10 is 10. Now, we'll convert \( \frac{2}{5} \) into tenths: \( \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \) Now we can add: \( \frac{4}{10} + \frac{3}{10} = \frac{4 + 3}{10} = \frac{7}{10} \) So, \( \frac{2}{5}+\frac{3}{10} = \frac{7}{10} \) Add a dash of fun by imagining these fractions as party guests. \( \frac{2}{5} \) arrived with 4 friends, and \( \frac{3}{10} \) brought 3 more. Together, they make quite the crowd—7 friends ready to jam in a group of 10! For a little tip, always convert to the lowest common denominator before adding—that way, you avoid mistakes and ensure a smooth fraction party! And remember, if you find yourself confused with the denominators, check if they're multiples of one another; it can save time and prevent headaches!