To find the difference, we will evaluate both expressions step-by-step.
-
Evaluating the first expression:
\[ 711 - (-1311) \]
This simplifies to:
\[ 711 + 1311 = 2022 \]
-
Evaluating the second expression:
\[ \frac{7}{11} - \left(-\frac{13}{11}\right) \]
This simplifies to:
\[ \frac{7}{11} + \frac{13}{11} = \frac{7 + 13}{11} = \frac{20}{11} \]
Now we have two results:
- The result of the first expression is \(2022\).
- The result of the second expression is \(\frac{20}{11}\).
Next, we need to find the difference between these two results:
\[ 2022 - \frac{20}{11} \]
To combine the integer \(2022\) and the fraction \(\frac{20}{11}\), we convert \(2022\) into a fraction with a common denominator of \(11\):
\[ 2022 = \frac{2022 \times 11}{11} = \frac{22242}{11} \]
Now, we have:
\[ \frac{22242}{11} - \frac{20}{11} = \frac{22242 - 20}{11} = \frac{22222}{11} \]
Thus, the difference is:
\[ \frac{22222}{11} \]
If desired, you can also convert this fraction into a decimal or mixed number:
\[ \frac{22222}{11} \approx 2020.181818181818 \quad (or \quad 2020 \frac{2}{11}) \]
The final answer is:
\[ \frac{22222}{11} \]