QUESTION

# If you subtract $\dfrac{1}{2}$ from a number multiply the result by $\dfrac{1}{2}$, you get $\dfrac{1}{8}$, what is the number?

Hint: In this question, we have to find the number whose equalities are given. First thing to do is let the number be $x$ and proceed according to the statement in question.
Let the number be $x$
Subtract $\dfrac{1}{2}$from number $= \left( {x - \dfrac{1}{2}} \right)$
And multiply it by $\dfrac{1}{2}$
$= \dfrac{1}{2} \times \left( {x - \dfrac{1}{2}} \right)$
$\dfrac{1}{2} \times \left( {x - \dfrac{1}{2}} \right) = \dfrac{1}{8} \\ x - \dfrac{1}{2} = \dfrac{2}{8} \\ x = \dfrac{1}{2} + \dfrac{1}{4} \\ x = \dfrac{3}{4} \\$
Hence, the required number is $\dfrac{3}{4}$.