4 rational numbers between 3/5 and 1/5
Answers
Answer:-5/10, -4/10, and -3/10
Step-by-step explanation:
Actually, you should know that if the length of numbers required is not possible between the given numbers, you should multiply the denominator and the numerator, until you don't get the required number length.
Step-by-step explanation:
Given :-
3/5 and 1/5
To find :-
Find 4 rational numbers between them ?
Solution :-
Given numbers are 3/5 and 1/5
Required rational numbers = 4
On writing the denominator as 4+1 = 5 multiple
Now,
3/5 = (3/5)×(5/5) = (3×5)/(5×5) = 15/25
1/5 = (1/5)×(5/5) = (1×5)/(5×5) = 5/25
The rational numbers are 6/25,7/25,8/25,...,14/25
Method -2:-
Given numbers are 3/5 and 1/5
The rational number between them by Mean method
=> [(3/5)+(1/5)]/2
=> [(3+1)/5]/2
=> (4/5)/2
=> 4/(5×2)
=> 4/10
=> 2/5
The second rational number between 1/5 and 2/5
=> [(1/5)+(2/5)]/2
=> [(1+2)/5]/2
=> (3/5)/2
=> 3/(5×2)
=> 3/10
The third rational number between 1/5 and 3/10
=> [ (1/5)+(3/10)]/2
=> [(2+3)/10]/2
=> (5/10)/2
=> (1/2)/2
=>1/(2×2)
=> 1/4
The fourth rational number between 1/5 and 1/4
=> [(1/5)+(1/4)]/2
=> [ (4+5)/20]/2
=> (9/20)/2
=> 9/(20×2)
=> 9/40
Answer:-
The required rational numbers are 2/5 , 3/10, 1/4 and 9/40
Used Method:-
Mean Method
→ The rational number between a and b is (a+b)/2