Find two rational numbers between and and .

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answer is C.

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Detailed Solution

Concept- A rational number is a real number that has the formula

If both p and q are integers but

When we wish to identify the rational numbers between two integers with the same denominator, we must examine both numerators. If the size of the difference exceeds the number of rational numbers we wish to find, we may simply keep increasing the numerator of the smaller number by one.A rational number is a real number that can be expressed in the form

, where

and

are both integers but

For example, the number 2.5+ is a rational number because it can be written as

and this satisfies the condition of a rational number.
The given two numbers,

and

are also rational numbers.
If we select any two rational numbers, there are an unlimited amount of rational numbers between them.
When we wish to identify the rational numbers between two integers with the same denominator, we must examine both numerators. If the size of the difference exceeds the number of rational numbers we wish to find, we may simply keep increasing the numerator of the smaller number by one.
The difference between the two numerators in this situation is

Now we must find two rational numbers between

and

We know that

. Therefore, the above condition is satisfied.
Now, let us increment the numerator of the smaller number

by one or two times.
i.e.

and

This means that two rational between

and

are

and 0 .
It is not like that there are only two rational numbers between the two given numbers. There are infinitely many such numbers.
Hence, the correct answer is option 3.

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