Introduction:
In mathematics, rational numbers are numbers that can be expressed as a ratio or fraction of two integers, where the denominator is not zero. These numbers include both positive and negative fractions, as well as whole numbers and integers.

Understanding Rational Numbers:
Rational numbers can be represented on a number line, and they lie between any two integers. They can also be expressed in decimal form, either terminating or repeating. Rational numbers can be positive or negative, and they can be written as \(\frac{p}{q}\), where p and q are integers and q ≠ 0.

Examples of Rational Numbers:
Examples of rational numbers include \(\frac{1}{2}\), \(\frac{3}{4}\), \(\frac{-5}{2}\), 0, 1, and -3. These numbers can be expressed as fractions or decimals.

Two Sets of Three Rational Numbers between 2 and 3:
To find two sets of three rational numbers between 2 and 3, we can choose fractions that have a numerator and denominator within a certain range. Here are two sets of such numbers:

Set 1:
1. \(\frac{7}{4}\): This rational number is greater than 2 and less than 3. It can be expressed as a fraction and also as a decimal (1.75).
2. \(\frac{5}{3}\): This rational number is also greater than 2 and less than 3. It can be expressed as a fraction and as a decimal (1.67).
3. \(\frac{13}{8}\): This rational number lies between 2 and 3. It can be written as a fraction and as a decimal (1.625).

Set 2:
1. \(\frac{9}{5}\): This rational number is greater than 2 and less than 3. It can be expressed as a fraction and as a decimal (1.8).
2. \(\frac{11}{6}\): This rational number lies between 2 and 3. It can be written as a fraction and as a decimal (1.833).
3. \(\frac{15}{8}\): This rational number is greater than 2 and less than 3. It can be expressed as a fraction and as a decimal (1.875).

Conclusion:
Rational numbers are an important concept in mathematics, and they include fractions, decimals, whole numbers, and integers. Two sets of three rational numbers between 2 and 3 have been provided as examples. These numbers can be expressed as fractions and decimals, and they lie between the integers 2 and 3 on the number line.

What is the answer?