\( \frac{11}{2} \) and \( \frac{11}{3} \)

are two fractions. To compare these two fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 3 is 6. So, we can rewrite the fractions with a common denominator of 6: \( \frac{11}{2} = \frac{11 \times 3}{2 \times 3} = \frac{33}{6} \) \( \frac{11}{3} = \frac{11 \times 2}{3 \times 2} = \frac{22}{6} \) Now that both fractions have the same denominator, we can compare their numerators. Since \( 33 > 22 \), we have: \( \frac{33}{6} > \frac{22}{6} \) Therefore, \( \frac{11}{2} > \frac{11}{3} \). To convert the fractions to decimals, we divide the numerator by the denominator: \( \frac{11}{2} = 5.5 \) \( \frac{11}{3} \approx 3.67 \) So, \( \frac{11}{2} \) is greater than \( \frac{11}{3} \) both as fractions and as decimals.