Find two rational numbers between 0.383383338 . . . and 0.404404440 . . . .

Explanation

To find two rational numbers between 0.383383338... and 0.404404440..., we can follow these steps:

### Step 1: Understand the Numbers
The numbers given are:
- \( a = 0.383383338... \)
- \( b = 0.404404440... \)

### Step 2: Identify the Range
We need to find two rational numbers that lie between \( a \) and \( b \).

### Step 3: Find a Number Between
We can start by looking for a number that is slightly greater than \( a \).
- One simple choice is \( 0.39 \), since it is greater than \( 0.383383338... \) and less than \( 0.404404440... \).

### Step 4: Find Another Number
Next, we need to find another number that is greater than \( 0.39 \) but still less than \( 0.404404440... \).
- A good choice could be \( 0.391 \), which is also greater than \( 0.39 \) and less than \( 0.404404440... \).

### Conclusion
Thus, the two rational numbers we found between \( 0.383383338... \) and \( 0.404404440... \) are:
- \( 0.39 \)
- \( 0.391 \)