13. \( \frac{1}{2}+\frac{4}{6}= \)

To add \(\frac{1}{2}\) and \(\frac{4}{6}\), we first find a common denominator. The denominator for \(\frac{1}{2}\) can be converted to 6 to match the second fraction. Thus, \(\frac{1}{2} = \frac{3}{6}\). Now, adding \(\frac{3}{6} + \frac{4}{6} = \frac{7}{6}\). This simplifies to \(1 \frac{1}{6}\) or simply \(7/6\) as an improper fraction. Next time you tackle fractions, remember the joy of common denominators! Just visualize it like aligning train tracks before your math train rolls on smoothly. It’s a classic technique that helps avoid pitfalls and keeps everything on the right path.