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Find three rational numbers lying between and and .

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answer is B.

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Detailed Solution

Concept- Here we have to find the 3 rational numbers between

and

. Rational number is defined as a number that can be expressed in form

, here

cannot be zero. For this we find the average between the given numbers which is a rational number between the given numbers.We know that rational numbers are any number that can be expressed in the form of

, where

cannot be
zero.
1) First rational number between

and

can be calculated by finding average between them, which is
Question Image

In numerator, there are fractional numbers, so add them up,

On further simplification, we get

Now, we have three numbers i.e.

and

so other remaining rational numbers can be calculated by taking average between

and

, and between

and

.
2) Second rational number between

and

can be calculated by finding the average between them.
Question Image

In numerator, there are fractional numbers, so add them up,

On further simplification, we get

3) The third rational number between

and

can be calculated by finding the average between them.
Question Image

On adding the fractional numbers in numerator, we get
Question Image

On further simplification, we get

Thus, the 3 rational number between

and

are

, and

.
Hence, the correct option is 2.

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Find three rational numbers lying between and and .

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