Question

find two rational number between -1/3 and -1/4​

Answer 1

Answer:

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Step-by-step explanation:

(-1/3+-1/4)/2

=-7/12/2

=-7/24. --------1st one

(-1/3+-7/24)/2

=-15/24

=-5/8-----'-''----''---------2nd one

Answer 2

Answer:

-11/36 , -10/36 , -9/36

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 two rational numbers between -1/3 and -1/4 .

Thus,

x = -1/3 , y = -1/4 , n = 2

Now,

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

=> d = (- 1/4 - (-1/3)) / (2 + 1)

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

=> d = (-3 + 4/12) / 3

=> d = (1/12) / 3

=> d = 1/(12×3)

=> d = 1/36

Thus,

The required rational numbers will be ;

• 1st rational number = x + d

= -1/3 + 1/36

= (-12 + 1)/36

= -11/36

• 2nd rational number = x + 2d

= -1/3 + 2/36

= (-12 + 2)/36

= -10/36

• 3rx rational number = x + 3d

= -1/3 + 3/36

= (-12 + 3)/36

= -9/36

Hence,

The required rational numbers are :

-11/36 , -10/36 , -9/36