Find a rational number lying between `(i) (1)/(3) and (1)/(2), (ii) (2)/(3) and - (3)/(4)`.

Explanation

To find a rational number lying between the given pairs of fractions, we can use the method of averaging the two fractions. Let's solve each part step by step.

### Part (i): Find a rational number between \( \frac{1}{3} \) and \( \frac{1}{2} \)

**Step 1:** Identify the two fractions.
- The two fractions are \( \frac{1}{3} \) and \( \frac{1}{2} \).

**Step 2:** Find a common denominator.
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