Question

Find $3$ irrational numbers between $\frac{3}{8}$ and $\frac{2}{5}$.

Answer 1

Given rational numbers an be written in decimal form as,

$\frac{3}{8}=0.375$

$\frac{2}{5}=0.4$

We know, between any two rational numbers, there are infinitely many irrational numbers. An irrational number has non-terminating non-recurring decimal expansions.

Then three different irrational number between $\frac{3}{8}$ and $\frac{2}{5}$ can be:

$0.3750750075000075\dots$

$0.387038700387\dots$

$0.3909009000900009\dots$