To multiply the mixed number \(2 \frac{5}{11}\) by \(2\), first convert the mixed number into an improper fraction.
Convert \(2 \frac{5}{11}\) to an improper fraction: \[ 2 \frac{5}{11} = \frac{2 \times 11 + 5}{11} = \frac{22 + 5}{11} = \frac{27}{11} \]
Now multiply by \(2\): \[ 2 \times \frac{27}{11} = \frac{2 \times 27}{11} = \frac{54}{11} \]
To express this as a mixed number, divide \(54\) by \(11\): \[ 54 \div 11 = 4 \quad \text{(since } 11 \times 4 = 44\text{, and the remainder is } 10\text{)} \] So you can express it as: \[ \frac{54}{11} = 4 \frac{10}{11} \]
Thus, the final result is: \[ 2 \frac{5}{11} \times 2 = \frac{54}{11} = 4 \frac{10}{11} \]
