In this
use the formula:-1/2(x+y)
in this x=1/9 and y=2/9
so =1/2*(1/9+2/9)
=1/2*3/9
=3/18
=1/6

Introduction:
To find a rational number between 1/9 and 2/9, we need to understand the concept of rational numbers and their properties. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They include both positive and negative numbers, as well as zero.

Properties of Rational Numbers:
1. Closure Property: The sum, difference, product, and quotient of any two rational numbers is also a rational number.
2. Commutative Property: The order of addition and multiplication of rational numbers does not affect the result.
3. Associative Property: The grouping of rational numbers in addition and multiplication does not affect the result.
4. Identity Property: The sum of any rational number and zero is the number itself. The product of any rational number and one is the number itself.
5. Inverse Property: Every rational number has an additive inverse and a multiplicative inverse.

Finding a Rational Number:
To find a rational number between 1/9 and 2/9, we can use the concept of averages. We can take the average of these two numbers to find a rational number that lies between them.

Step 1: Find the average of 1/9 and 2/9.
Average = (1/9 + 2/9) / 2
= 3/9 / 2
= 3/18
= 1/6

Explanation:
The average of 1/9 and 2/9 is 1/6. This means that 1/6 is a rational number that lies between 1/9 and 2/9.

Conclusion:
In conclusion, a rational number between 1/9 and 2/9 is 1/6. This is found by taking the average of the given numbers. Understanding the properties of rational numbers helps in finding and manipulating them using various operations.