1.

Find five rational numbers between `1/4` and `3/5`.

Answer» Difference between two given rational numbers `(b-a) = 3/5-1/4 = 7/20`
So, we will take `5` numbers with difference ,`(b-a)/(n+1) = 7/(20(5+1)) = 7/120`.
`:.` First number will be ` = 1/4+7/120 = 37/120`
So, `5` rational numbers between `1/4` and `3/5` using mean method are,
`37/120,44/120,51/120,58/120,65/120.`


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