Which of the following are positive rational numbers?
(i) `-7/8`, (ii) `-13/17`, (iii) `-8/(-11)`, (iv) `0/8`, (v) `0/(-7)`

Answer

To determine which of the given rational numbers are positive, we will analyze each one step by step.

### Step-by-Step Solution:

1. **Analyze the first rational number: `-7/8`**
- This number has a negative sign in the numerator.
- Therefore, `-7/8` is a negative rational number.

2. **Analyze the second rational number: `-13/17`**
- This number also has a negative sign in the numerator.
- Thus, `-13/17` is a negative rational number.

3. **Analyze the third rational number: `-8/(-11)`**
- Here, we have a negative sign in the numerator and a negative sign in the denominator.
- When we divide a negative by a negative, the result is positive.
- Therefore, `-8/(-11)` simplifies to `8/11`, which is a positive rational number.

4. **Analyze the fourth rational number: `0/8`**
- The numerator is 0.
- A fraction with 0 in the numerator is equal to 0, which is neither positive nor negative.
- Therefore, `0/8` is neither a positive nor a negative rational number.

5. **Analyze the fifth rational number: `0/(-7)`**
- Similar to the previous case, the numerator is 0.
- Thus, `0/(-7)` is also equal to 0, which is neither positive nor negative.
- Therefore, `0/(-7)` is neither a positive nor a negative rational number.

### Conclusion:
- The only positive rational number among the given options is `-8/(-11)` (which simplifies to `8/11`).
- The other numbers are either negative or zero.

### Summary:
- (i) `-7/8` - Negative
- (ii) `-13/17` - Negative
- (iii) `-8/(-11)` - Positive
- (iv) `0/8` - Neither
- (v) `0/(-7)` - Neither