Find two rational numbers between 3/5 and -1/2 using mean method.
Answers
Step-by-step explanation:
Given :-
Two numbers are 3/5 and -1/2
To find :-
Find two rational numbers between 3/5 and -1/2 using mean method.
Solution :-
Given numbers are 3/5 and -1/2
We know that
Mean Method :
The rational number between the two numbers a and b is (a+b)/2
Let a = 3/5 and b = -1/2
The rational number between 3/5 and -1/2
=> [(3/5)+(-1/2)]/2
LCM of 5 and 2 is 10
=>[{(3×2)+(-1×5)}/10]/2
=>[(6-5)/10]/2
=> (1/10)/2
=> 1/(10×2)
=> 1/20
Again by using Mean method
Let a = 3/5 and b= 1/20
The rational number between 3/5 and 1/20
=> [(3/5)+(1/20)]/2
=> [ {(3×4)+(1×1)}/20]/2
=> [(12+1)/20]/2
=> (13/20)/2
=> 13/(20×2)
=> 13/40
Therefore, required numbers are 1/20 , 13/40
Answer :-
The required rational numbers between 3/5 and -1/2 are 1/20 and 13/40
Used formulae:-
Mean Method:-
The rational number between the two numbers a and b is (a+b)/2