To subtract \(-4 \frac{5}{11}\) and \(2 \frac{4}{11}\), we can follow these steps:
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Convert the mixed numbers to improper fractions.
For \(-4 \frac{5}{11}\): \[ -4 \frac{5}{11} = -\left(4 \times 11 + 5\right) / 11 = -\left(44 + 5\right) / 11 = -\frac{49}{11} \]
For \(2 \frac{4}{11}\): \[ 2 \frac{4}{11} = 2 \times 11 + 4 / 11 = \frac{22 + 4}{11} = \frac{26}{11} \]
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Now, we can perform the subtraction: \[ -\frac{49}{11} - \frac{26}{11} = -\left(\frac{49 + 26}{11}\right) = -\frac{75}{11} \]
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Finally, we convert \(-\frac{75}{11}\) back to a mixed number: \[ -\frac{75}{11} = -6 \frac{9}{11} \] (Since \(75 ÷ 11 = 6\) with a remainder of \(9\))
Therefore, the result of \(-4 \frac{5}{11} - 2 \frac{4}{11}\) is \(-6 \frac{9}{11}\).