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The five rational numbers between 1 and 2 is ____.

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Detailed Solution

Concept- The five rational numbers between 1 and 2 are

. To find the rational numbers between two whole numbers, we first need to form fractions of the two whole numbers by dividing each of them by any common number with the two numbers as

and

and the
denominator as

with

and

, the rational numbers to be found between

and

with

as the total number of rational number between

and

First let us take a random number

, let us take it as

.
The number for the denominator should be greater than 1 but should not exceed the value of 2 .
Take number between two numbers as

. Putting the values in the fraction:

Before that let us find the value of

, which is

Putting the values in the number system as:

Adding numerators with

and dividing with 6 , we get the middle fractions as:

Now, the number between the whole numbers 1 and 2 are

. Hence, these fractional numbers are the rational numbers between 1 and 2 .
Hence, the correct answer is "

.".

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