\( \frac{21}{6} \) or \( 3 \frac{1}{3} \)

**Step 1: Simplify the Fraction** We start with the fraction: \[ \frac{21}{6} \] Divide the numerator and the denominator by their greatest common divisor, which is 3: \[ \frac{21}{6} = \frac{21 \div 3}{6 \div 3} = \frac{7}{2} \] **Step 2: Convert the Simplified Fraction to a Mixed Number** To convert \(\frac{7}{2}\) to a mixed number, divide 7 by 2: - The integer part is given by: \[ 7 \div 2 = 3 \quad (\text{since } 2 \times 3 = 6) \] - The remainder is: \[ 7 - 6 = 1 \] Thus, the mixed number is: \[ 3\frac{1}{2} \] **Conclusion** The fraction \(\frac{21}{6}\) simplifies to \(\frac{7}{2}\), which is equivalent to \(3\frac{1}{2}\). Hence, it is not equal to \(3\frac{1}{3}\).