3) \( \frac{1}{2}+4 \frac{5}{6} \)

To solve \( \frac{1}{2}+4 \frac{5}{6} \), first convert the mixed number into an improper fraction. The mixed number \( 4 \frac{5}{6} \) can be rewritten as \( \frac{24}{6} + \frac{5}{6} = \frac{29}{6} \). Now, add \( \frac{1}{2} \) to \( \frac{29}{6} \). To do this, find a common denominator. The least common denominator for 2 and 6 is 6. Rewrite \( \frac{1}{2} \) as \( \frac{3}{6} \). Now, you can add: \[ \frac{3}{6} + \frac{29}{6} = \frac{32}{6} \] This simplifies to \( \frac{16}{3} \) or \( 5 \frac{1}{3} \). Voilà! Keep practicing with fractions, as they can pop up in all areas of life—from cooking to construction! Knowing how to manipulate them can make your everyday tasks a breeze.