Another effective method is the midpoint formula, where you add the two rational numbers together and divide by 2. Repeating this averaging process will continually generate new rational numbers between them.
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
An alternative way to find a rational number between any two given numbers is by using the mean or midpoint method. You simply add the two rational numbers together and then divide their sum by 2. The resulting value is guaranteed to lie exactly halfway between them on a number line. Because rational numbers are dense, you can repeat this averaging process indefinitely with any new endpoints to discover infinite intermediate rational numbers.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/