2 5/11•2=

To multiply the mixed number \(2 \frac{5}{11}\) by \(2\), first convert the mixed number into an improper fraction.

1. Convert \(2 \frac{5}{11}\) to an improper fraction: \[ 2 \frac{5}{11} = \frac{(2 \times 11) + 5}{11} = \frac{22 + 5}{11} = \frac{27}{11} \]

2. Now multiply by \(2\): \[ 2 = \frac{2}{1} \] So, \[ \frac{27}{11} \times \frac{2}{1} = \frac{27 \times 2}{11 \times 1} = \frac{54}{11} \]

3. Finally, convert \(\frac{54}{11}\) back to a mixed number: \[ 54 \div 11 = 4 \quad \text{remainder } 10 \] Thus, \[ \frac{54}{11} = 4 \frac{10}{11} \]

So, \(2 \frac{5}{11} \times 2 = 4 \frac{10}{11}\).