Question

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

Answer 1

Answer:

3/4 is the answer to your question

Answer 2

Given :-

When from a number we subtract 1/2 and multiply the result by 1/2 we get 1/8

To find :-

What is the number

Solution :-

Suppose the number is x

As per the given condition :-

$\frac{x}{1} - \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}$

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

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

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

$2x - 1 = \frac{1}{2}$

$2x = \frac{1}{2} + 1$

$2x = \frac{1 + 2}{2} \: \: \: (LCM)$

$2x = \frac{3}{2}$

$x = \frac{3}{2 \times 2}$

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

Therefore the number is 3/4

Let's verify

As we got value of x 3/4 so will put 3/4 instead of

$( \frac{3}{4} - \frac{1}{2} ) \times \frac{1}{2} = \frac{1}{8}$

$\frac{3 - 2}{4} \times \frac{1}{2} = \frac{1}{8}$

$\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}$

$\frac{1}{8} = \frac{1}{8}$

Hence verified

Hope it helps you