Question

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

• A. $\frac{3}{9}$
• B. $\frac{3}{4}$
• C. $\frac{3}{13}$
• D. $\frac{3}{2}$

Answer 1

The correct option is B $\frac{3}{4}$

Let the number be $x$

We need to subtract $\frac{1}{2}$ from $x$ and multiply the resultant by $\frac{1}{2}$,

So, we get $(x-\frac{1}{2})\frac{1}{2}$

The resultant is equal to $\frac{1}{8}$

$(x-\frac{1}{2})\frac{1}{2}=\frac{1}{8}$

$(2x-1)\frac{1}{4}=\frac{1}{8}$

$4x-2=1$

$4x=3$

$x=\frac{3}{4}$