Question

Find three different irrational numbers between the rational numbers $\frac{5}{7}\mathrm{and}\frac{9}{11}$.

Answer 1

$\mathrm{As},\frac{5}{7}\approx 0.714\mathrm{and}\frac{9}{11}\approx 0.818$

So, the three different irrational numbers are: 0.72020020002..., 0.7515511555111... and 0.808008000...

Disclaimer: There are an infinite number of irrational numbers between two rational numbers.