Find three different irrational numbers between the rational numbers $\frac{1}{3}$ and $\frac{7}{9}$.

(N/A) First,convert the rational numbers into decimal form:
$\frac{1}{3} = 0.3333\ldots$
$\frac{7}{9} = 0.7777\ldots$
To find irrational numbers between $0.3333\ldots$ and $0.7777\ldots$,we need to write non-terminating and non-repeating decimals that fall within this range.
Three such numbers are:
$1) 0.4040040004\ldots$
$2) 0.5050050005\ldots$
$3) 0.6060060006\ldots$