Question

All fractions between 0 and 1/4

Answer 1

1/5 , 1/6 , 1/7, 1/8 , ..... up to infinity.

Answer 2

Such fractions are infinitely many, but will write you a few:
We extend a fraction of ten:
$\frac{1*10}{4*10}=\frac{10}{40}$
Our expressions must be in the range of 0, and $\frac{10}{40}$
$\frac{1}{40}$

$\frac{2}{40}$

$\frac{3}{40}$

$\frac{4}{40}$

$\frac{5}{40}$

$\frac{6}{40}$

$\frac{7}{40}$

$\frac{8}{40}$

$\frac{9}{40}$