3. \( \frac{1}{2}+\frac{7}{8}=\square \)

To add \( \frac{1}{2} \) and \( \frac{7}{8} \), we first need a common denominator. The least common denominator between 2 and 8 is 8. Convert \( \frac{1}{2} \) into eighths, which gives us \( \frac{4}{8} \). Now, we can add: \[ \frac{4}{8} + \frac{7}{8} = \frac{4 + 7}{8} = \frac{11}{8} \] So, \( \frac{1}{2}+\frac{7}{8}=\frac{11}{8} \) or \( 1 \frac{3}{8} \) as a mixed number! If you’ve ever wondered about fractions, you’re in good company! They’ve been around for thousands of years, with evidence of their use dating back to ancient Egyptians who employed them in their decimal system. The fascination with fractions has only grown, leading to their pivotal role in understanding mathematics today. When adding fractions, one common mistake is forgetting to find a common denominator first. Always convert both fractions to have the same denominator before combining them; otherwise, you’ll end up with incorrect answers. Another tip: keep simplifying your answer to its lowest terms if possible to avoid unnecessary complications!