Find two rational number between :
`(i)(2)/(3)and(8)/(3)`

Explanation

To find two rational numbers between \( \frac{2}{3} \) and \( \frac{8}{3} \), we can follow these steps:

### Step 1: Identify the given rational numbers
The two rational numbers given are:
- \( \frac{2}{3} \)
- \( \frac{8}{3} \)

### Step 2: Check the denominators
Both fractions have the same denominator, which is 3. This makes it easier to find rational numbers between them.

### Step 3: Find the numerators
Now, we will look at the numerators of the two fractions:
- The numerator of \( \frac{2}{3} \) is 2.
- The numerator of \( \frac{8}{3} \) is 8.

### Step 4: List the integers between the numerators
Next, we need to find the integers that lie between 2 and 8. The integers between 2 and 8 are:
- 3
- 4
- 5
- 6
- 7

### Step 5: Form new rational numbers
We can now form new rational numbers using these integers as numerators while keeping the denominator as 3. The rational numbers we can form are:
- \( \frac{3}{3} \)
- \( \frac{4}{3} \)
- \( \frac{5}{3} \)
- \( \frac{6}{3} \)
- \( \frac{7}{3} \)

### Step 6: Select two rational numbers
From the list above, we can select any two rational numbers. For example, we can choose:
- \( \frac{4}{3} \)
- \( \frac{5}{3} \)

### Final Answer
Thus, two rational numbers between \( \frac{2}{3} \) and \( \frac{8}{3} \) are \( \frac{4}{3} \) and \( \frac{5}{3} \).

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