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The five rational numbers between 3 and 4 is ____.

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Detailed Solution

Concept:

are the five rational numbers between 3 and 4.
The given numbers can be classified as rational numbers.

is a rational number if

and

are rational numbers. We may thus discover any amount of rational numbers between them by applying this concept.
Consider 3 and 4 . Since they are rational numbers,

is also a rational number.

and

is a number between 3 and 4 .
Now proceeding in the same way,
Consider

and

We have

and

are rational numbers.
Question Image

Thus we get two rational numbers

betwee[12]n 3 and 4 .
Now consider

\frac{13}{4}, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}

We have

and

are rational numbers.
Question Image

Thus we get two rational numbers

between 3 and 4 .
So we get five rational numbers between 3 and 4 .
Hence, the required rational numbers are

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