Question
Find three different irrational numbers between the rational numbers $\frac {5} {9} $ and $\frac {9} {11} $.

Answer


Thus, $\frac {5} {7}$ = 0.714285 ... = $0 . \overline{714285}$

Thus, $\frac {9} {11} $ = 0.8181 ... = $0 . \overline{81}$
Three different irrational numbers between the rational $\frac {5} {9} $ and $\frac {9} {11} $ can be taken as
$0.75 075007500075000075 ...$
$0.7670767000767 ...,$
$0.808008000800008 ...$

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