Question

insert a rational number between 2/9 3/8​

Answer 1

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