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Question
Insert three rational number between:
6 and 7
Solution
A rational number lying between 6 and 7
= `(6 + 7)/(2)`
= `(13)/(2)`
A rational number lying between 6 and `(13)/(2)`
= `(6 + 13/2)/(2)`
= `(25/2)/(2)`
= `(25)/(4)`
A rational number lying between `(13)/(2)` and 7
= `(13/2 + 7)/(2)`
= `(27/2)/(2)`
= `(27)/(4)`
`6 < (25)/(4) < (13)/(2) < (27)/(4) < 7`
Hence, three rational numbers between 6 and 7 are
`(25)/(4), (13)/(2) and (27)/(4)`.
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