(x-1/2)*1/2=1/8
x-1/2=1/8*2/1
x-1/2=1/4
x=1/4+1/2
x=3/4

**Problem Statement:**
If you subtract 1/2 from a number and multiply by 1/2, you get 1/8. What is the number?

**Solution:**

Let's solve this problem step by step:

**Step 1: Define the unknown variable**
Let's assume the unknown number as 'x'.

**Step 2: Translate the problem into an equation**
According to the problem statement, if we subtract 1/2 from the number 'x' and multiply the result by 1/2, it is equal to 1/8. We can write this as an equation:

(x - 1/2) * 1/2 = 1/8

**Step 3: Simplify the equation**
To solve the equation, we need to simplify it.
First, let's distribute the 1/2 to the terms inside the parentheses:

(x * 1/2) - (1/2 * 1/2) = 1/8

Simplifying further:

x/2 - 1/4 = 1/8

**Step 4: Get rid of the fractions**
To eliminate the fractions, we can multiply the entire equation by the least common multiple (LCM) of the denominators, which is 8:

8 * (x/2) - 8 * (1/4) = 8 * (1/8)

Simplifying:

4x - 2 = 1

**Step 5: Solve for the unknown variable**
To solve for 'x', we need to isolate it on one side of the equation. Let's solve for 'x' by adding 2 to both sides:

4x - 2 + 2 = 1 + 2

Simplifying:

4x = 3

Finally, divide both sides by 4 to isolate 'x':

(4x)/4 = 3/4

x = 3/4

**Answer:**
The unknown number is 3/4.