insert a rational number between 2/9 3/8
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Step-by-step explanation:
Given:-
Two numbers are 2/9 and 3/8
To find:-
Find a rational number between them?
Solution:-
Method-1:-
Mean method:-
Given rational numbers are 2/9 and 3/8
We know that A rational number between two rational numbers 'a' and 'b' is (a+b)/2
Let a = 2/9 and b= 3/8
Rational number between them is
=>[(2/9)+(3/8)]/2
LCM of 9 and 8 is 72
=>[{(2×8)+(3×9)}/72]/2
=>[(16+27)/72]/2
=>(43/72)/2
=>43/(72×2)
=>43/144
2/9 < 43/144 < 3/8
Method-2:-
Given rational numbers are 2/9 and 3/8
2/9 = (2/9)×(8/8)=(2×8)/(9×8)=16/72
3/8 = (3/8)×(9/9)=(3×9)/(8×9) = 27/72
The rational number between them is 17/72 or 18/72 ...
Answer:-
The rational number between the given numbers is 43/144
Used method:-
- A rational number between two rational numbers 'a' and 'b' is (a+b)/2 -Mean method
- There are infinitely number of rational numbers between any two numbers -Density Property
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