10. CBQ - Density of rational numbers

Two friends, Aisha and Riya, are practicing problems on rational numbers. Aisha says that between any two rational numbers, we can always find another rational number. To test this, she considers the numbers $\frac{2}{9}$ and $\frac{1}{2}$ and asks Riya to find a number exactly between them.

 

Based on this situation, answer the following:

 

1. The property used to find the rational number exactly between them is:

 

2. According to the property, "Between any two rational numbers \(a\) and \(b\), there is always a rational number _____________. (Complete the statement). 

 

3. The mean rational number between $\frac{2}{9}$ and $\frac{1}{2}$ is 

 

• $\frac{15}{36}$
• $\frac{14}{36}$
• $\frac{12}{36}$
• $\frac{13}{36}$

 

4. Which of the following statement is true?