Find six rational numbers between 3 and 4.

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#### Solution

Let us take the 3 and 4 as rational numbers with denominator 6 + 1 = 7

Then the 6 rational numbers between 3 and 4 are

`3=(3xx7)/(1xx7)=21/7` and `4=(4xx7)/(1xx7)=28/7`,

We know that 21<22<23<24<25<26<27<28

`21/7<22/7<23/7<24/7<25/7<26/7<27/7<28/7.`

Hence, six rational numbers between 3=21/7 and 4=28/7 are

`22/7, 23/7, 24/7, 25/7, 26/7 " and " 27/7.`

Concept: Introduction of Real Number

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