find a rational number between 1 and 2
Answers
Answer:
Given two numbers 1 and 2
We need to find a rational number between 1 and 2
Solution Let the two given numbers be a and b respectively a= 1 and b=2
We know that the rational number between a and b is given by (a + b)/2
So the rational number between 1 and 2 = (1+2)/2 = 3/2
Then, Rational number between 1 and 3/2 =[1+(3/2)]/2 = 5/4
Then Rational number between 1 and 5/4 =[1+(5/4)]/2 = 9/8
Then Rational number between 3/2 and 2 =[(3/2) + 2]/2 = 7/4
Then Rational number between 7/4 and 2 =[(7/4) + 2]/2 = 15/8 Hence the five rational numbers between 1 and 2 are 3/2, 5/4, 7/4, 9/8, and 15/8
Step-by-step explanation:
hope it help u......
explanation:As we want 5 rational number we will multiply both with6/6
1/1×6/6=6/6
2/1×6/6=12/6
7/6 ,8/6 ,9/6 ,10/6 ,11/6
Therefore, the rational number between 1 and 2 are 7/6 ,4/3 ,3/2 ,5/3 ,11/6.