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Question
Find six rational numbers between 3 and 4.
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.`
We need 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` are the six rational numbers between 3 and 4.
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