Question

Question 1
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 number be x.
According to the question,$\frac{1}{2}(x-\frac{1}{2})=\frac{1}{8}$
$\Rightarrow 2\times \frac{1}{2}(x-\frac{1}{2})=\frac{1}{8}\times 2$ [Multiplying both sides by 2]
$\Rightarrow x\times \frac{1}{2}=\frac{1}{4}$
$\Rightarrow x-\frac{1}{2}+\frac{1}{2}=\frac{1}{4}+\frac{1}{2}$ [Adding both sides $\frac{1}{2}$]
$\Rightarrow x=\frac{1+2}{4}$
$\Rightarrow x=\frac{3}{4}$
Hence, the required numbers is $\frac{3}{4}$.