1. \( \frac{1}{2}+\frac{1}{6} \) Least multiple that is the same: Add using renamed fractions: \( +\square= \)

To add \( \frac{1}{2} \) and \( \frac{1}{6} \), we need a common denominator. The least common multiple of 2 and 6 is 6. We rename \( \frac{1}{2} \) to \( \frac{3}{6} \), so the equation becomes \( \frac{3}{6} + \frac{1}{6} \). Now, you simply add the numerators: \( 3 + 1 = 4 \). Thus, \( \frac{1}{2} + \frac{1}{6} = \frac{4}{6} \). As a fun bonus, did you know that the concept of fractions dates back to ancient civilizations like the Egyptians and Babylonians? They used fractions in trade and land division, well before modern notation was even thought of! Furthermore, in everyday life, understanding fractions can assist with cooking, for instance! If a recipe calls for \( \frac{1}{2} \) cup of sugar and you want to double the recipe, knowing how to add fractions will ensure your dessert turns out perfectly sweet!