List five rational numbers between -4/5 and -2/3.

To find five rational numbers between -4/5 and -2/3, we first convert these fractions to have a common denominator. The denominators 5 and 3 can be converted to 15.

Conversion of Fractions

• -4/5 = -12/15
• -2/3 = -10/15

Now, we need to identify rational numbers that fall between -12/15 and -10/15. Here are five examples:

Rational Numbers

• -11/15
• -10.5/15 (or -21/30)
• -10.8/15 (or -54/75)
• -10.2/15 (or -51/75)
• -10.9/15 (or -65/75)

These numbers are all rational and lie between -4/5 and -2/3.