Fraction Tower

A= 1 / ( 0.5 / 0.25 ) = 1 / 2 = 0.5 and B= ( 1 / 0.5 ) / 0.25 = 2 / 0.25 = 8 then B>A

B=0.25/0.5 and A=0.25(16)/0.5>0.25/0.5=A

These values are not equal! To see more, read: does a/(bc) = (a/b) * (a/c)?

A= 1 / ( 0.5 / 0.25 ) = 1 / 2 = 0.5

and B= ( 1 / 0.5 ) / 0.25 = 2 / 0.25 = 8

so, B>A

A=2 and B=8

$\frac{1}{\frac{0.5}{0.25}} \square \frac{\frac{1}{0.5}}{0.25} \implies \frac{1}{2} \square \frac{2}{0.25} \implies 0.5>8$ .So $A<B$ and $\boxed{\large{B}}$ is our answer

$A=\frac{1}{\left(\frac{0.5}{0.25}\right)}=\frac{1}{2}=0.5$

$B=\frac{\left(\frac{1}{0.5}\right)}{0.25}=\frac{2}{0.25}=8$