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.