Question

how to find rational numbers between
$\frac{2}{5} and \frac{4}{5}$

Answer 1

Hey mate! ​​

 If we have to find 5 rational number between $\frac{2}{5}$ and $\frac{4}{5}$,

we will multiply both numerator and denominator by one greater number than the number of rational number we have to find.    

So, $\frac{2}{5}$×$\frac{6}{6}$  = $\frac{12}{30}$    

And, $\frac{4}{5}$×$\frac{6}{6}$  = $\frac{24}{30}$    

So, 5 rational number between 12/30 and 24/30 are :-  

$\frac{13}{30} , \frac{14}{30} , \frac{15}{30} , \frac{16}{30} , \frac{17}{30}$    

And, many more numbers can be found!