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

**Solution:**

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Let's form a linear equation for the given problem statement.

Given,

- 1/2 is subtracted from a number
- Result is multiplied by 1/2
- Answer is 1/8

Let the number be x

Following the steps given in the question,

(i) x - 1/2

(ii) 1/2 × (x - 1/2) = 1/8

Solving the above equation,

1/2 x - 1/4 = 1/8

⇒ 1/2 x = 1/8 + 1/4

⇒ x = 2(1 + 2)/8

⇒ x = 3/4

Thus, the number is 3/4

**Video Solution:**

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

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.2 Question 1

**Summary:**

If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8. The number that we get from solving the given question is 3/4.