Question

If you subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, you get $\frac{1}{8}$, What is the number?

Answer 1

Let the unknown number be $x$
Given conditions:
(i) Subtracting $\frac{1}{2}$ from the unknow number $x$, we get
$x-\frac{1}{2}$
(ii) Multiply the above result by $\frac{1}{2}$, we get $\frac{1}{8}$.
Thus, $(x-\frac{1}{2})\times \frac{1}{2}=\frac{1}{8}$
$\Rightarrow (x-\frac{1}{2})=\frac{2}{8}$
$\Rightarrow x=\frac{1}{4}+\frac{1}{2}$
$\Rightarrow x=\frac{1+2}{4}$
$\therefore x=\frac{3}{4}$
Hence, the unknown value is $\frac{3}{4}$