Find five rational numbers between. (i) `2/3 and 4/5` (ii) `(-3)/2 and 5/3` (iii) `1/4 and 1/2`

Explanation

To find five rational numbers between the given pairs, we will follow a systematic approach. Let's solve each part step by step.

### (i) Find five rational numbers between \( \frac{2}{3} \) and \( \frac{4}{5} \).

**Step 1:** Convert both fractions to have a common denominator.
The denominators are 3 and 5. The least common multiple (LCM) of 3 and 5 is 15.

**Step 2:** Convert \( \frac{2}{3} \) to a fraction with a denominator of 15.
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