5-2 4/11

To solve the expression \(5 - 2 \frac{4}{11}\), we need to convert the mixed number \(2 \frac{4}{11}\) into an improper fraction.

1. Convert \(2 \frac{4}{11}\) to an improper fraction: \[ 2 \frac{4}{11} = 2 + \frac{4}{11} = \frac{2 \times 11 + 4}{11} = \frac{22 + 4}{11} = \frac{26}{11} \]

2. Now rewrite the expression: \[ 5 - 2 \frac{4}{11} = 5 - \frac{26}{11} \]

3. Convert \(5\) to a fraction with a denominator of \(11\): \[ 5 = \frac{5 \times 11}{11} = \frac{55}{11} \]

4. Now we can subtract the fractions: \[ \frac{55}{11} - \frac{26}{11} = \frac{55 - 26}{11} = \frac{29}{11} \]

So, \(5 - 2 \frac{4}{11} = \frac{29}{11}\).

If you want it back as a mixed number, it can also be expressed as: \[ 2 \frac{7}{11} \]

Thus, the final answer is: \[ \frac{29}{11} \quad \text{or} \quad 2 \frac{7}{11} \]