Sure! When it comes to identifying rational numbers between two given decimal values, it’s essential to remember that rational numbers are those that can be expressed as a fraction of two integers. Let’s dive into the specific ranges you provided.

1. Rational Numbers Between 1.1 and 2.2

• 1.2
• 1.5
• 1.8
• 2.0
• 2.1

Each of these numbers is a fraction (e.g., 1.2 can be expressed as 12/10, which simplifies to 6/5), and they all fall within the range of 1.1 and 2.2.

2. Rational Numbers Between 1.3 and 4.12

• 1.5
• 2.0
• 3.0
• 3.5
• 4.0

Similar to the first range, these numbers also qualify as rational. For instance, 3.0 can be described as 3/1, which is rational.

In conclusion, rational numbers can be easily identified by their decimal or fractional formats, and there are numerous options you can choose from within any specified range.