5. \( 4 \frac{2}{3}+1 \frac{2}{3} \)

To solve \( 4 \frac{2}{3} + 1 \frac{2}{3} \), first convert the mixed numbers into improper fractions. For \( 4 \frac{2}{3} \): \( 4 \times 3 + 2 = 12 + 2 = 14 \), so it becomes \( \frac{14}{3} \). For \( 1 \frac{2}{3} \): \( 1 \times 3 + 2 = 3 + 2 = 5 \), so it becomes \( \frac{5}{3} \). Now, add the two improper fractions: \[ \frac{14}{3} + \frac{5}{3} = \frac{14 + 5}{3} = \frac{19}{3} \] Converting \( \frac{19}{3} \) back to a mixed number gives: \( 6 \frac{1}{3} \). So, \( 4 \frac{2}{3} + 1 \frac{2}{3} = 6 \frac{1}{3} \). Want to impress your friends with your math skills? Try incorporating fun themes! For example, if you love baking, relate your fractions to measuring ingredients – like needing \( 4 \frac{2}{3} \) cups of flour. And don't forget to avoid common pitfalls! When adding mixed numbers, always ensure your fractions share a common denominator before performing the addition. It makes the math smoother and helps avoid mistakes.