(ס) \( 2 \frac{3}{4}+\frac{1}{3}+5 \frac{5}{12} \)

Let’s have some fun with fractions! First, convert the mixed numbers into improper fractions: - \( 2 \frac{3}{4} = \frac{11}{4} \) - \( 5 \frac{5}{12} = \frac{65}{12} \) Now, we need a common denominator to combine these fractions. The least common multiple of 4, 3, and 12 is 12, so we will convert all fractions: - \( \frac{11}{4} = \frac{33}{12} \) (since \( 11 \times 3 = 33 \)) - \( \frac{1}{3} = \frac{4}{12} \) (since \( 1 \times 4 = 4 \)) - \( \frac{65}{12} \) remains the same. Now add them up: \[ \frac{33}{12} + \frac{4}{12} + \frac{65}{12} = \frac{33 + 4 + 65}{12} = \frac{102}{12} \] To simplify, divide the numerator and the denominator by their greatest common divisor, which is 6: \[ \frac{102 \div 6}{12 \div 6} = \frac{17}{2} \] Converting back to a mixed number gives us \( 8 \frac{1}{2} \). So the final answer is \( 8 \frac{1}{2} \).