\( \frac { 1 } { 6 } + \frac { 2 } { 3 } \quad \frac { 3 } { 10 } + \frac { 2 } { 5 } \)

To add the fractions \( \frac{1}{6} + \frac{2}{3} \), we first need a common denominator. The least common multiple of 6 and 3 is 6. Therefore, we rewrite \( \frac{2}{3} \) as \( \frac{4}{6} \). Now, we can combine them: \[ \frac{1}{6} + \frac{4}{6} = \frac{5}{6} \] For the second part, \( \frac{3}{10} + \frac{2}{5} \), we also need a common denominator. The least common multiple of 10 and 5 is 10. We rewrite \( \frac{2}{5} \) as \( \frac{4}{10} \). So we combine them: \[ \frac{3}{10} + \frac{4}{10} = \frac{7}{10} \] Putting it together, we have \( \frac{5}{6} \) and \( \frac{7}{10} \).