711−(−1311)\frac{7}{11}-\left(-\frac{13}{11}\right)

Question

11
7
​
−(−
11
13
​
)

Leave answer in fraction form

Answer 1

To solve the expression \( 711 - (-1311) + \frac{7}{11} - \left(-\frac{13}{11}\right) \), we will work step-by-step.

1. Evaluate \( 711 - (-1311) \): \[ 711 - (-1311) = 711 + 1311 = 2022 \]

2. Evaluate \( \frac{7}{11} - \left(-\frac{13}{11}\right) \): \[ \frac{7}{11} - \left(-\frac{13}{11}\right) = \frac{7}{11} + \frac{13}{11} = \frac{7 + 13}{11} = \frac{20}{11} \]

3. Combine the results: Now, we need to add \( 2022 \) and \( \frac{20}{11} \). We can express \( 2022 \) as a fraction with a denominator of 11: \[ 2022 = \frac{2022 \times 11}{11} = \frac{22242}{11} \]

4. Add the two fractions: \[ \frac{22242}{11} + \frac{20}{11} = \frac{22242 + 20}{11} = \frac{22262}{11} \]

Thus, the final result in fraction form is: \[ \frac{22262}{11} \]