Three Rational Numbers Between -2/3 and -3/2
Finding rational numbers between -2/3 and -3/2 involves identifying fractions that lie within this range on the number line. Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero.

Finding the Midpoint
To find rational numbers between -2/3 and -3/2, we first need to determine the midpoint of these two numbers. The midpoint can be calculated by taking the average of the two numbers:
Midpoint = (-2/3 + (-3/2)) / 2 = (-2/3 - 9/6) / 2 = (-4/6 - 9/6) / 2 = -13/6 / 2 = -13/12

Identifying Rational Numbers
Now that we have the midpoint, we can find rational numbers that lie between -2/3 and -3/2 by choosing fractions that are greater than -2/3 but less than the midpoint, and fractions that are greater than the midpoint but less than -3/2.
- Rational Number 1: -7/6
- Rational Number 2: -4/3
- Rational Number 3: -5/4
These three rational numbers lie between -2/3 and -3/2 on the number line. By following this method, we can find an infinite number of rational numbers between any two given rational numbers.