Question

Find any two irrational numbers between $\frac{1}{5}$ and $\frac{2}{7}$

Answer 1

We know that $\frac{1}{5}=0.20$
$\frac{2}{7}=0.\overline{285714}$
To find two irrational numbers between $\frac{1}{5}$ and $\frac{2}{7}$, we need to look at the decimal form of the two numbers and then proceed. We can find infinitely many such irrational numbers.
Examples of two such irrational numbers are
$\mathrm{0.20120112011...},\mathrm{0.24114111411114...},\mathrm{0.25231617181912...},\mathrm{0.267812147512...}$