Question

find a rational number between 1/4and 1/3 by mean method
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Answer 1

Answer:

Just follow the formula:

Let the given numbers be a and b. Take the hidden no. as x.

Now, x= 2/(a+b)

If you find it then congratulations!

Answer 2

Answer:

7/24

Working rule :

★ Let the smaller number be x and greater number be y .

★ Then find the common difference d using the formula ; d = (y - x)/(n + 1) , where n is the number of Rational numbers to be found between x and y .

★ The the required rational numbers will be given as ;

1st rational no. = x + d

2nd rational no. = x + 2d

3rd rational no. = x + 3d

:

:

nth rational no. = x + nd

Solution:

Here,

We need to find three rational numbers between 1/4 and 1/3 .

Thus,

x = 1/4 , y = 1/3 , n = 3

Now,

=> d = (y - x)/(n + 1)

=> d = (1/3 - 1/4) / (1 + 1)

=> d = [ (4 - 3)/12 ] / 2

=> d = (1/12) / 2

=> d = 1/(12×2)

=> d = 1/24

Thus,

The required rational numbers will be ;

= x + d

= 1/4 + 1/24

= (6 + 1)/24

= 7/24

Hence ,

The required rational number is 7/24 .

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★ For finding only one rational number between x and y we can use the formula ;

Required no. = (x + y)/2

Thus,

Required no. = (1/4 + 1/3)/2

= [(3 + 4)/12]/2

= (7/12) / 2

= 7/24