**Four Rational Numbers between -1/-2 and 1/2**

To find four rational numbers between -1/-2 and 1/2, we need to understand the concept of rational numbers and how they can be represented as fractions.

Rational numbers are numbers that can be expressed as a ratio of two integers. They can be positive or negative and include fractions and decimals that terminate or repeat. A rational number can be written in the form a/b, where a and b are integers and b is not equal to zero.

The given range is -1/-2 and 1/2, which can be simplified as 1/2 and 1/2. This means we need to find four rational numbers between 1/2 and 1/2. Since these two numbers are equal, we need to find four rational numbers that are larger than 1/2.

One way to find rational numbers between two given numbers is by taking their average. By finding the average, we can get a number that lies between the two given numbers. Let's use this method to find four rational numbers between 1/2 and 1/2.

**Step 1: Find the average**

1/2 + 1/2 = 1
1/2 + 1 = 3/2 (average of 1/2 and 1)
1 + 3/2 = 5/2 (average of 1 and 3/2)
3/2 + 5/2 = 8/2 = 4 (average of 3/2 and 5/2)

**Step 2: Simplify the fractions**

The four rational numbers we found are 1, 3/2, 5/2, and 4. However, these fractions can be simplified further:

1 = 2/2
3/2 = 6/4
5/2 = 10/4
4 = 8/2

**Final Rational Numbers between -1/-2 and 1/2**

The four rational numbers between -1/-2 and 1/2, after simplification, are:

- 2/2
- 6/4
- 10/4
- 8/2

These four rational numbers lie between the given range and can be expressed as fractions. They are all rational numbers as they can be written in the form of a/b where a and b are integers.

-4/10, -3/10, -2/10, -1/10.