List four rational number between - 4/5 and - 2/3

-31/45, - 32/45, - 33/45, - 34/45, and - 35/45

Step-by-step explanation:

Rational numbers are any number that can be written as a ratio of two integers.

First, find the common denominator using the least common multiple (LCM).

The LCM of 3 and 5 is 15. So the fractions can be written as:

-12/15 and - 10/15

If we keep the denominator 15, then only one rational number can be written between these two: - 11/15. We need to find four rational numbers. So instead, let's use a denominator of 45. The fractions become:

-36/45 and - 30/45

Now we can write five rational numbers between those:

-31/45, - 32/45, - 33/45, - 34/45, and - 35/45.

Choose any 4 that you like.