In \( 1-4 \), find each sum. 1. \( \frac{1}{2}+\frac{1}{6} \) Least multiple that is the same: Add using renamed fractions: + +

To find the sum of \( \frac{1}{2}+\frac{1}{6} \), the least common multiple of the denominators 2 and 6 is 6. Now, we rename the fractions: - \( \frac{1}{2} = \frac{3}{6} \) (multiply both numerator and denominator by 3) - \( \frac{1}{6} = \frac{1}{6} \) (it remains the same) Now we can add the renamed fractions: \( \frac{3}{6} + \frac{1}{6} = \frac{4}{6} \). Finally, we can simplify \( \frac{4}{6} \) to \( \frac{2}{3} \). So, the sum is \( \frac{2}{3} \).