4.) \( \frac{2}{3}+\frac{5}{6}= \)

To solve \( \frac{2}{3} + \frac{5}{6} \), first find a common denominator. The least common multiple of 3 and 6 is 6. Convert \( \frac{2}{3} \) into sixths: \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \] Now you can add the fractions: \[ \frac{4}{6} + \frac{5}{6} = \frac{4 + 5}{6} = \frac{9}{6} \] This can be simplified to: \[ \frac{9}{6} = \frac{3}{2} = 1\frac{1}{2} \] So, \( \frac{2}{3} + \frac{5}{6} = \frac{3}{2} \) or \( 1\frac{1}{2} \). When tackling fractions in addition, it’s essential to always look for a common denominator first; this saves you from making errors later on! A common mistake is to add the numerators directly without finding that common ground, leading to incorrect results. In real-world scenarios, mastering fraction addition is important, especially in cooking or crafting. For instance, if a recipe calls for two-thirds of a cup of sugar and you want to add an additional five-sixths cup, knowing how to add those fractions correctly will ensure your final dish turns out delightful!