Mean Method to Find Rational Numbers between -3/2 and 5/3
To find five rational numbers between -3/2 and 5/3 using the mean method, we can calculate the mean of the given numbers and create rational numbers that lie between them. Here's how we can do it:

Step 1: Find the Mean
Calculate the mean of -3/2 and 5/3:
Mean = (-3/2 + 5/3) / 2
Mean = (-9/6 + 10/6) / 2
Mean = 1/6

Step 2: Create Rational Numbers
Now, we can create five rational numbers between -3/2 and 5/3 using the mean:
1. First rational number: (-3/2 + 1/6) = (-9/6 + 1/6) = -8/6 = -4/3
2. Second rational number: (-4/3 + 1/6) = (-8/6 + 1/6) = -7/6
3. Third rational number: (-7/6 + 1/6) = -6/6 = -1
4. Fourth rational number: (-1 + 1/6) = (-6/6 + 1/6) = -5/6
5. Fifth rational number: (-5/6 + 1/6) = -4/6 = -2/3
By following the mean method, we have found five rational numbers between -3/2 and 5/3, which are -4/3, -7/6, -1, -5/6, and -2/3. This method is a simple and systematic way to generate rational numbers within a given range.