A Rational Number is a Number that can be represented in the form of p/q where the denominator q is not equal to zero. In this article of ours, you will learn how to find Rational Numbers between Two Rational Numbers. Check out the entire procedure of finding Rational Numbers between Two Rational Numbers as well as the Solved Examples. After going through the article, we are sure you can solve the related problems on your own.
Procedure for finding Rational Numbers between Two Rational Numbers
Let us consider x, y to be Two Rational Numbers. One of the simplest methods of finding a Rational Number Between Two Rational Numbers is to find the average of the given Rational Numbers i.e. (x+y)/2. One can find as many rational numbers as they want between two given rational numbers by calculating the average between them.
For better understanding, we have provided a few examples. Have a glance at them and understand the process even better.
Solved Examples
1. Find out a Rational Number between 2/5 and 3/2?
Solution:
Given Rational Numbers are 2/5 and 3/2
Find the Average of the given rational numbers to determine the rational number between them
= (2/5+3/2)/2
= (4/10+15/10)/2
= (19/10)/2
= 19/10*1/2
= 19/20
Therefore, 19/20 is a Rational Number between 2/5 and 3/2.
2. Find out the Rational Number lying between 1/4 and 1/2?
Solution:
Find the average of given rational numbers to obtain the Rational Number between them
= 1/2(1/4+1/2)
= 1/2((1+2)/4)
= 1/2*(3/4)
= 3/8
3/8 is a Rational Number between 1/4 and 1/2.
3. Find three Rational Numbers lying between 4 and 5?
Solution:
Find the average of given rational numbers to obtain the Rational Number between them
= 1/2(4+5)= 9/2
Then 4< 9/2 < 5
Rational Number between 4 and 9/2 is
= 1/2(4+9/2)
= 1/2((8+9)/2)
= 1/2(17/2)
= 17/4
Rational Number between 9/2 and 5 is
= 1/2(9/2+5)
= 1/2((9+10)/2)
= 1/2(19/2)
= 19/4
3< 17/4 < 9/2 < 19/4
Therefore, three Rational Numbers between 4 and 5 are 9/2, 17/4, 19/4