Find the sum :
`(i) (7)/(9)+ (-11)/(9)" " (ii) (8)/(-11)+(3)/(11)`

Answer

To solve the given problems step by step, let's break them down:

### Problem (i): Find the sum \( \frac{7}{9} + \left(-\frac{11}{9}\right) \)

1. **Identify the fractions**: We have \( \frac{7}{9} \) and \( -\frac{11}{9} \).

2. **Combine the fractions**: Since both fractions have the same denominator (9), we can combine them directly:
\[ \frac{7}{9} + \left(-\frac{11}{9}\right) = \frac{7 - 11}{9} \]

3. **Perform the subtraction in the numerator**:
\[ 7 - 11 = -4 \]
So, we have:
\[ \frac{7 - 11}{9} = \frac{-4}{9} \]

4. **Final answer for part (i)**:
\[ \frac{7}{9} + \left(-\frac{11}{9}\right) = \frac{-4}{9} \]

### Problem (ii): Find the sum \( \frac{8}{-11} + \frac{3}{11} \)

1. **Rewrite the first fraction**: The first fraction can be rewritten as:
\[ \frac{8}{-11} = -\frac{8}{11} \]
So now we have:
\[ -\frac{8}{11} + \frac{3}{11} \]

2. **Combine the fractions**: Again, since both fractions have the same denominator (11), we can combine them:
\[ -\frac{8}{11} + \frac{3}{11} = \frac{-8 + 3}{11} \]

3. **Perform the addition in the numerator**:
\[ -8 + 3 = -5 \]
So, we have:
\[ \frac{-8 + 3}{11} = \frac{-5}{11} \]

4. **Final answer for part (ii)**:
\[ \frac{8}{-11} + \frac{3}{11} = \frac{-5}{11} \]

### Summary of Answers:
- (i) \( \frac{-4}{9} \)
- (ii) \( \frac{-5}{11} \)

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