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

To add \( \frac{1}{5} \) and \( \frac{2}{3} \), you'll first need a common denominator, which is 15 in this case. Rewrite the fractions: \( \frac{1}{5} = \frac{3}{15} \) and \( \frac{2}{3} = \frac{10}{15} \). Now, add them together: \( \frac{3}{15} + \frac{10}{15} = \frac{13}{15} \). So, \( \frac{1}{5}+\frac{2}{3} = \frac{13}{15} \). Now you can impress your friends with your fraction skills! When working with fractions, always keep an eye on that common denominator, as it helps avoid confusion and errors. A common mistake is to simply add the numerators and denominators separately, which will lead to incorrect answers. Always find that sweet common ground first!