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

Explanation

Let n = 5.
We convert `(3)/(5)` and `(4)/(5)` into quivalent rational numbers by mulitplying the numerator and denomintor by `(n + 1)`, i.e., 6
Thus , `(3)/(5) = (3xx 6)/(5 xx 6) = (18)/(30) and (4)/(5)= (4 xx 6)/(5xx6) = (24)/(30)`
Clearly we have
`(18)/(30) lt (19)/(30) lt (20)/(30) lt (21)/(30) lt (22)/(30) lt (23)/(30) lt (24)/(30)`.
`or (3)/(5) lt (19)/(30) lt (2)/(3) lt (7)/(10) lt (11)/(15)lt (23)/(30) lt (4)/(5)`
Hence, five rational number between `(3)/(5)` and `(4)/(5)` are `(19)/(20),(2)/(3),(7)/(10),(11)/(15), and (23)/(30)`.