Write the multiplicative inverse of:
(i) `5/6`, (ii) `-3/7`, (iii) `-8`, (iv) `-11/3`, (v) `-1/8`

Answer

To find the multiplicative inverse (or reciprocal) of a rational number, we simply flip the numerator and the denominator. If the number is negative, the sign remains the same in the multiplicative inverse. Let's find the multiplicative inverse for each of the given numbers step by step.

### Step-by-Step Solution:

1. **For \( \frac{5}{6} \)**:
- The multiplicative inverse is obtained by flipping the fraction.
- So, the multiplicative inverse of \( \frac{5}{6} \) is \( \frac{6}{5} \).

2. **For \( -\frac{3}{7} \)**:
- Again, we flip the fraction, keeping the negative sign.
- The multiplicative inverse of \( -\frac{3}{7} \) is \( -\frac{7}{3} \).

3. **For \( -8 \)**:
- We can express \( -8 \) as \( -\frac{8}{1} \).
- Flipping this gives us \( -\frac{1}{8} \).
- Thus, the multiplicative inverse of \( -8 \) is \( -\frac{1}{8} \).

4. **For \( -\frac{11}{3} \)**:
- We flip the fraction while keeping the negative sign.
- The multiplicative inverse of \( -\frac{11}{3} \) is \( -\frac{3}{11} \).

5. **For \( -\frac{1}{8} \)**:
- Flipping the fraction gives us \( -8 \).
- Therefore, the multiplicative inverse of \( -\frac{1}{8} \) is \( -8 \).

### Final Answers:
- (i) \( \frac{6}{5} \)
- (ii) \( -\frac{7}{3} \)
- (iii) \( -\frac{1}{8} \)
- (iv) \( -\frac{3}{11} \)
- (v) \( -8 \)