Find three different irrational numbers between the rational numbers $\frac{1}{4}$ and $\frac{4}{5}$.

(N/A) We know that $\frac{1}{4} = 0.25$ and $\frac{4}{5} = 0.8$.
To find three different irrational numbers between $\frac{1}{4}$ and $\frac{4}{5}$,we need to find three numbers between $0.25$ and $0.8$ that are non-terminating and non-recurring.
Three such numbers are:
$1. 0.3030030003\dots$
$2. 0.4040040004\dots$
$3. 0.5050050005\dots$