#### Question

If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What is the number?

#### Solution

Let the number be *x*. According to the question,

`(x - 1/2) xx 1/2 = 1/8`

On multiplying both sides by 2, we obtain

`(x - 1/2) xx 1/2 xx 2 = 1/8 xx2`

`x - 1/2 = 1/4`

On transposing `1/2` to R.H.S, we obtain

`x = 1/4 + 1/2`

= `(1+2)/4 = 3/4`

Therefore, the number is `3/4`

Is there an error in this question or solution?

Solution If You Subtract 1/2 from a Number and Multiply the Result by 1/2, You Get 1/8. What is the Number Concept: Solving Equations Having the Variable on Both Sides.