Find three rational numbers between ⅗ and ⅔.

To find three rational numbers between ⅗ and ⅔, we can first convert these fractions to have a common denominator. The denominators of 5 and 3 can be converted to 15.

Convert the Fractions

Here’s how the fractions look with a common denominator:

• ⅗ = 9/15
• ⅔ = 10/15

Identifying Rational Numbers

Now, we can find rational numbers that fall between 9/15 and 10/15. Here are three examples:

• 9.1/15
• 9.2/15
• 9.3/15

Alternative Rational Numbers

We can also express these numbers in different forms:

• 18/30
• 19/30
• 20/30

Thus, three rational numbers between ⅗ and ⅔ are 18/30, 19/30, and 20/30. You can choose any numbers that fit between the two fractions as long as they are expressed as fractions or decimals!